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Finding the Fourth Proportional to 9,232.97, 12,740.91 and 5,041.22

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Solution

The fourth proportional to 9,232.97, 12,740.91 and 5,041.22 is: 6,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.97 : 12,740.91 = 5,041.22 : x
  2. Step 2: Convert to fraction form
    9,232.97/12,740.91 = 5,041.22/x
  3. Step 3: Cross multiply
    9,232.97x = 12,740.91 × 5,041.22
  4. Step 4: Simplify right side
    9,232.97x = 64,229,730.31
  5. Step 5: Solve for x
    x = 64,229,730.31/9,232.97
  6. Step 6: Final answer
    x = 6,956.56

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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.