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Finding the Fourth Proportional to 10,092.90, 13,929.52 and 6,114.08

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Solution

The fourth proportional to 10,092.90, 13,929.52 and 6,114.08 is: 8,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.90 : 13,929.52 = 6,114.08 : x
  2. Step 2: Convert to fraction form
    10,092.90/13,929.52 = 6,114.08/x
  3. Step 3: Cross multiply
    10,092.90x = 13,929.52 × 6,114.08
  4. Step 4: Simplify right side
    10,092.90x = 85,166,230.64
  5. Step 5: Solve for x
    x = 85,166,230.64/10,092.90
  6. Step 6: Final answer
    x = 8,438.23

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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.