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Finding the Fourth Proportional to 9,036.50, 12,469.65 and 5,057.42

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Solution

The fourth proportional to 9,036.50, 12,469.65 and 5,057.42 is: 6,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.50 : 12,469.65 = 5,057.42 : x
  2. Step 2: Convert to fraction form
    9,036.50/12,469.65 = 5,057.42/x
  3. Step 3: Cross multiply
    9,036.50x = 12,469.65 × 5,057.42
  4. Step 4: Simplify right side
    9,036.50x = 63,064,257.30
  5. Step 5: Solve for x
    x = 63,064,257.30/9,036.50
  6. Step 6: Final answer
    x = 6,978.84

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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.