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Finding the Fourth Proportional to 9,404.71, 14,117.29 and 7,071.40

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Solution

The fourth proportional to 9,404.71, 14,117.29 and 7,071.40 is: 10,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.71 : 14,117.29 = 7,071.40 : x
  2. Step 2: Convert to fraction form
    9,404.71/14,117.29 = 7,071.40/x
  3. Step 3: Cross multiply
    9,404.71x = 14,117.29 × 7,071.40
  4. Step 4: Simplify right side
    9,404.71x = 99,829,004.47
  5. Step 5: Solve for x
    x = 99,829,004.47/9,404.71
  6. Step 6: Final answer
    x = 10,614.79

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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.