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Finding the Fourth Proportional to 9,192, 12,687.12 and 5,468.16

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Solution

The fourth proportional to 9,192, 12,687.12 and 5,468.16 is: 7,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192 : 12,687.12 = 5,468.16 : x
  2. Step 2: Convert to fraction form
    9,192/12,687.12 = 5,468.16/x
  3. Step 3: Cross multiply
    9,192x = 12,687.12 × 5,468.16
  4. Step 4: Simplify right side
    9,192x = 69,375,202.10
  5. Step 5: Solve for x
    x = 69,375,202.10/9,192
  6. Step 6: Final answer
    x = 7,547.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.