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Finding the Fourth Proportional to 9,150.92, 12,616.80 and 7,470.64

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Solution

The fourth proportional to 9,150.92, 12,616.80 and 7,470.64 is: 10,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.92 : 12,616.80 = 7,470.64 : x
  2. Step 2: Convert to fraction form
    9,150.92/12,616.80 = 7,470.64/x
  3. Step 3: Cross multiply
    9,150.92x = 12,616.80 × 7,470.64
  4. Step 4: Simplify right side
    9,150.92x = 94,255,570.75
  5. Step 5: Solve for x
    x = 94,255,570.75/9,150.92
  6. Step 6: Final answer
    x = 10,300.12

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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.