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Finding the Fourth Proportional to 6,531.57, 9,015.01 and 4,293.66

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Solution

The fourth proportional to 6,531.57, 9,015.01 and 4,293.66 is: 5,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.57 : 9,015.01 = 4,293.66 : x
  2. Step 2: Convert to fraction form
    6,531.57/9,015.01 = 4,293.66/x
  3. Step 3: Cross multiply
    6,531.57x = 9,015.01 × 4,293.66
  4. Step 4: Simplify right side
    6,531.57x = 38,707,387.84
  5. Step 5: Solve for x
    x = 38,707,387.84/6,531.57
  6. Step 6: Final answer
    x = 5,926.20

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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.