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Finding the Fourth Proportional to 9,784,561.80, 14,676,842.70 and 2,596,081.80

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Solution

The fourth proportional to 9,784,561.80, 14,676,842.70 and 2,596,081.80 is: 3,894,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784,561.80 : 14,676,842.70 = 2,596,081.80 : x
  2. Step 2: Convert to fraction form
    9,784,561.80/14,676,842.70 = 2,596,081.80/x
  3. Step 3: Cross multiply
    9,784,561.80x = 14,676,842.70 × 2,596,081.80
  4. Step 4: Simplify right side
    9,784,561.80x = 38,102,284,214,932.85
  5. Step 5: Solve for x
    x = 38,102,284,214,932.85/9,784,561.80
  6. Step 6: Final answer
    x = 3,894,122.70

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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.