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Finding the Fourth Proportional to 9,233.20, 12,751.32 and 7,116.40

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Solution

The fourth proportional to 9,233.20, 12,751.32 and 7,116.40 is: 9,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.20 : 12,751.32 = 7,116.40 : x
  2. Step 2: Convert to fraction form
    9,233.20/12,751.32 = 7,116.40/x
  3. Step 3: Cross multiply
    9,233.20x = 12,751.32 × 7,116.40
  4. Step 4: Simplify right side
    9,233.20x = 90,743,493.65
  5. Step 5: Solve for x
    x = 90,743,493.65/9,233.20
  6. Step 6: Final answer
    x = 9,827.96

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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.