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Finding the Fourth Proportional to 9,808.38, 13,535.27 and 5,332.02

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Solution

The fourth proportional to 9,808.38, 13,535.27 and 5,332.02 is: 7,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.38 : 13,535.27 = 5,332.02 : x
  2. Step 2: Convert to fraction form
    9,808.38/13,535.27 = 5,332.02/x
  3. Step 3: Cross multiply
    9,808.38x = 13,535.27 × 5,332.02
  4. Step 4: Simplify right side
    9,808.38x = 72,170,330.35
  5. Step 5: Solve for x
    x = 72,170,330.35/9,808.38
  6. Step 6: Final answer
    x = 7,358.03

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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.