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Finding the Fourth Proportional to 6,532.17, 9,014.27 and 3,547.97

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Solution

The fourth proportional to 6,532.17, 9,014.27 and 3,547.97 is: 4,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.17 : 9,014.27 = 3,547.97 : x
  2. Step 2: Convert to fraction form
    6,532.17/9,014.27 = 3,547.97/x
  3. Step 3: Cross multiply
    6,532.17x = 9,014.27 × 3,547.97
  4. Step 4: Simplify right side
    6,532.17x = 31,982,296.72
  5. Step 5: Solve for x
    x = 31,982,296.72/6,532.17
  6. Step 6: Final answer
    x = 4,896.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.