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Finding the Fourth Proportional to 10,514.88, 15,744.24 and 9,269.28

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Solution

The fourth proportional to 10,514.88, 15,744.24 and 9,269.28 is: 13,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.88 : 15,744.24 = 9,269.28 : x
  2. Step 2: Convert to fraction form
    10,514.88/15,744.24 = 9,269.28/x
  3. Step 3: Cross multiply
    10,514.88x = 15,744.24 × 9,269.28
  4. Step 4: Simplify right side
    10,514.88x = 145,937,768.95
  5. Step 5: Solve for x
    x = 145,937,768.95/10,514.88
  6. Step 6: Final answer
    x = 13,879.17

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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.