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Finding the Fourth Proportional to 9,645.98, 14,470.13 and 3,404.71

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Solution

The fourth proportional to 9,645.98, 14,470.13 and 3,404.71 is: 5,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.98 : 14,470.13 = 3,404.71 : x
  2. Step 2: Convert to fraction form
    9,645.98/14,470.13 = 3,404.71/x
  3. Step 3: Cross multiply
    9,645.98x = 14,470.13 × 3,404.71
  4. Step 4: Simplify right side
    9,645.98x = 49,266,543.11
  5. Step 5: Solve for x
    x = 49,266,543.11/9,645.98
  6. Step 6: Final answer
    x = 5,107.47

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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.