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Finding the Fourth Proportional to 9,847.92, 13,577.38 and 7,332.88

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Solution

The fourth proportional to 9,847.92, 13,577.38 and 7,332.88 is: 10,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.92 : 13,577.38 = 7,332.88 : x
  2. Step 2: Convert to fraction form
    9,847.92/13,577.38 = 7,332.88/x
  3. Step 3: Cross multiply
    9,847.92x = 13,577.38 × 7,332.88
  4. Step 4: Simplify right side
    9,847.92x = 99,561,298.25
  5. Step 5: Solve for x
    x = 99,561,298.25/9,847.92
  6. Step 6: Final answer
    x = 10,109.88

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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.