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Finding the Fourth Proportional to 9,117.12, 12,602.88 and 8,132.16

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Solution

The fourth proportional to 9,117.12, 12,602.88 and 8,132.16 is: 11,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.12 : 12,602.88 = 8,132.16 : x
  2. Step 2: Convert to fraction form
    9,117.12/12,602.88 = 8,132.16/x
  3. Step 3: Cross multiply
    9,117.12x = 12,602.88 × 8,132.16
  4. Step 4: Simplify right side
    9,117.12x = 102,488,636.62
  5. Step 5: Solve for x
    x = 102,488,636.62/9,117.12
  6. Step 6: Final answer
    x = 11,241.34

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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.