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Finding the Fourth Proportional to 9,575.16, 13,209.66 and 5,847

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Solution

The fourth proportional to 9,575.16, 13,209.66 and 5,847 is: 8,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.16 : 13,209.66 = 5,847 : x
  2. Step 2: Convert to fraction form
    9,575.16/13,209.66 = 5,847/x
  3. Step 3: Cross multiply
    9,575.16x = 13,209.66 × 5,847
  4. Step 4: Simplify right side
    9,575.16x = 77,236,882.02
  5. Step 5: Solve for x
    x = 77,236,882.02/9,575.16
  6. Step 6: Final answer
    x = 8,066.38

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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.