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Finding the Fourth Proportional to 9,057.48, 13,575.27 and 6,586.17

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Solution

The fourth proportional to 9,057.48, 13,575.27 and 6,586.17 is: 9,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.48 : 13,575.27 = 6,586.17 : x
  2. Step 2: Convert to fraction form
    9,057.48/13,575.27 = 6,586.17/x
  3. Step 3: Cross multiply
    9,057.48x = 13,575.27 × 6,586.17
  4. Step 4: Simplify right side
    9,057.48x = 89,409,036.02
  5. Step 5: Solve for x
    x = 89,409,036.02/9,057.48
  6. Step 6: Final answer
    x = 9,871.29

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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.