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Finding the Fourth Proportional to 9,242.89, 12,755.16 and 5,051.14

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Solution

The fourth proportional to 9,242.89, 12,755.16 and 5,051.14 is: 6,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.89 : 12,755.16 = 5,051.14 : x
  2. Step 2: Convert to fraction form
    9,242.89/12,755.16 = 5,051.14/x
  3. Step 3: Cross multiply
    9,242.89x = 12,755.16 × 5,051.14
  4. Step 4: Simplify right side
    9,242.89x = 64,428,098.88
  5. Step 5: Solve for x
    x = 64,428,098.88/9,242.89
  6. Step 6: Final answer
    x = 6,970.56

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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.