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Finding the Fourth Proportional to 9,147.92, 12,612.66 and 7,467.62

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Solution

The fourth proportional to 9,147.92, 12,612.66 and 7,467.62 is: 10,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.92 : 12,612.66 = 7,467.62 : x
  2. Step 2: Convert to fraction form
    9,147.92/12,612.66 = 7,467.62/x
  3. Step 3: Cross multiply
    9,147.92x = 12,612.66 × 7,467.62
  4. Step 4: Simplify right side
    9,147.92x = 94,186,552.07
  5. Step 5: Solve for x
    x = 94,186,552.07/9,147.92
  6. Step 6: Final answer
    x = 10,295.95

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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.