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Finding the Fourth Proportional to 9,122.90, 13,683.92 and 9,024.08

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Solution

The fourth proportional to 9,122.90, 13,683.92 and 9,024.08 is: 13,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.90 : 13,683.92 = 9,024.08 : x
  2. Step 2: Convert to fraction form
    9,122.90/13,683.92 = 9,024.08/x
  3. Step 3: Cross multiply
    9,122.90x = 13,683.92 × 9,024.08
  4. Step 4: Simplify right side
    9,122.90x = 123,484,675.25
  5. Step 5: Solve for x
    x = 123,484,675.25/9,122.90
  6. Step 6: Final answer
    x = 13,535.69

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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.