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Finding the Fourth Proportional to 6,527.33, 9,007.68 and 3,543.14

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Solution

The fourth proportional to 6,527.33, 9,007.68 and 3,543.14 is: 4,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.33 : 9,007.68 = 3,543.14 : x
  2. Step 2: Convert to fraction form
    6,527.33/9,007.68 = 3,543.14/x
  3. Step 3: Cross multiply
    6,527.33x = 9,007.68 × 3,543.14
  4. Step 4: Simplify right side
    6,527.33x = 31,915,426.28
  5. Step 5: Solve for x
    x = 31,915,426.28/6,527.33
  6. Step 6: Final answer
    x = 4,889.51

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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.