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Finding the Fourth Proportional to 6,527.74, 9,008.31 and 3,543.58

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Solution

The fourth proportional to 6,527.74, 9,008.31 and 3,543.58 is: 4,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.74 : 9,008.31 = 3,543.58 : x
  2. Step 2: Convert to fraction form
    6,527.74/9,008.31 = 3,543.58/x
  3. Step 3: Cross multiply
    6,527.74x = 9,008.31 × 3,543.58
  4. Step 4: Simplify right side
    6,527.74x = 31,921,665.12
  5. Step 5: Solve for x
    x = 31,921,665.12/6,527.74
  6. Step 6: Final answer
    x = 4,890.15

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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.