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Finding the Fourth Proportional to 9,215.90, 12,718 and 5,024.14

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Solution

The fourth proportional to 9,215.90, 12,718 and 5,024.14 is: 6,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.90 : 12,718 = 5,024.14 : x
  2. Step 2: Convert to fraction form
    9,215.90/12,718 = 5,024.14/x
  3. Step 3: Cross multiply
    9,215.90x = 12,718 × 5,024.14
  4. Step 4: Simplify right side
    9,215.90x = 63,897,012.52
  5. Step 5: Solve for x
    x = 63,897,012.52/9,215.90
  6. Step 6: Final answer
    x = 6,933.34

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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.