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Finding the Fourth Proportional to 9,784,915.80, 14,677,373.70 and 9,076,327.80

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Solution

The fourth proportional to 9,784,915.80, 14,677,373.70 and 9,076,327.80 is: 13,614,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784,915.80 : 14,677,373.70 = 9,076,327.80 : x
  2. Step 2: Convert to fraction form
    9,784,915.80/14,677,373.70 = 9,076,327.80/x
  3. Step 3: Cross multiply
    9,784,915.80x = 14,677,373.70 × 9,076,327.80
  4. Step 4: Simplify right side
    9,784,915.80x = 133,216,654,944,298.86
  5. Step 5: Solve for x
    x = 133,216,654,944,298.86/9,784,915.80
  6. Step 6: Final answer
    x = 13,614,491.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.