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Finding the Fourth Proportional to 9,784,854.30, 14,677,281.45 and 9,076,266.30

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Solution

The fourth proportional to 9,784,854.30, 14,677,281.45 and 9,076,266.30 is: 13,614,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784,854.30 : 14,677,281.45 = 9,076,266.30 : x
  2. Step 2: Convert to fraction form
    9,784,854.30/14,677,281.45 = 9,076,266.30/x
  3. Step 3: Cross multiply
    9,784,854.30x = 14,677,281.45 × 9,076,266.30
  4. Step 4: Simplify right side
    9,784,854.30x = 133,214,915,000,250.14
  5. Step 5: Solve for x
    x = 133,214,915,000,250.14/9,784,854.30
  6. Step 6: Final answer
    x = 13,614,399.45

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