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Finding the Fourth Proportional to 9,071.92, 13,613.14 and 3,806.47

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Solution

The fourth proportional to 9,071.92, 13,613.14 and 3,806.47 is: 5,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.92 : 13,613.14 = 3,806.47 : x
  2. Step 2: Convert to fraction form
    9,071.92/13,613.14 = 3,806.47/x
  3. Step 3: Cross multiply
    9,071.92x = 13,613.14 × 3,806.47
  4. Step 4: Simplify right side
    9,071.92x = 51,818,009.02
  5. Step 5: Solve for x
    x = 51,818,009.02/9,071.92
  6. Step 6: Final answer
    x = 5,711.91

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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.