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Finding the Fourth Proportional to 9,545.80, 13,171.38 and 5,768.20

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Solution

The fourth proportional to 9,545.80, 13,171.38 and 5,768.20 is: 7,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.80 : 13,171.38 = 5,768.20 : x
  2. Step 2: Convert to fraction form
    9,545.80/13,171.38 = 5,768.20/x
  3. Step 3: Cross multiply
    9,545.80x = 13,171.38 × 5,768.20
  4. Step 4: Simplify right side
    9,545.80x = 75,975,154.12
  5. Step 5: Solve for x
    x = 75,975,154.12/9,545.80
  6. Step 6: Final answer
    x = 7,959.01

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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.