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Finding the Fourth Proportional to 10,342.90, 15,514.35 and 9,194.73

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Solution

The fourth proportional to 10,342.90, 15,514.35 and 9,194.73 is: 13,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.90 : 15,514.35 = 9,194.73 : x
  2. Step 2: Convert to fraction form
    10,342.90/15,514.35 = 9,194.73/x
  3. Step 3: Cross multiply
    10,342.90x = 15,514.35 × 9,194.73
  4. Step 4: Simplify right side
    10,342.90x = 142,650,259.38
  5. Step 5: Solve for x
    x = 142,650,259.38/10,342.90
  6. Step 6: Final answer
    x = 13,792.10

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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.