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Finding the Fourth Proportional to 6,471.17, 9,708.20 and 3,547.97

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Solution

The fourth proportional to 6,471.17, 9,708.20 and 3,547.97 is: 5,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.17 : 9,708.20 = 3,547.97 : x
  2. Step 2: Convert to fraction form
    6,471.17/9,708.20 = 3,547.97/x
  3. Step 3: Cross multiply
    6,471.17x = 9,708.20 × 3,547.97
  4. Step 4: Simplify right side
    6,471.17x = 34,444,336.07
  5. Step 5: Solve for x
    x = 34,444,336.07/6,471.17
  6. Step 6: Final answer
    x = 5,322.74

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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.