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Finding the Fourth Proportional to 9,074.71, 13,586.10 and 6,147.82

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Solution

The fourth proportional to 9,074.71, 13,586.10 and 6,147.82 is: 9,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.71 : 13,586.10 = 6,147.82 : x
  2. Step 2: Convert to fraction form
    9,074.71/13,586.10 = 6,147.82/x
  3. Step 3: Cross multiply
    9,074.71x = 13,586.10 × 6,147.82
  4. Step 4: Simplify right side
    9,074.71x = 83,524,897.30
  5. Step 5: Solve for x
    x = 83,524,897.30/9,074.71
  6. Step 6: Final answer
    x = 9,204.14

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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.