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Finding the Fourth Proportional to 9,808.04, 13,535.34 and 5,332.04

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Solution

The fourth proportional to 9,808.04, 13,535.34 and 5,332.04 is: 7,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.04 : 13,535.34 = 5,332.04 : x
  2. Step 2: Convert to fraction form
    9,808.04/13,535.34 = 5,332.04/x
  3. Step 3: Cross multiply
    9,808.04x = 13,535.34 × 5,332.04
  4. Step 4: Simplify right side
    9,808.04x = 72,170,937.38
  5. Step 5: Solve for x
    x = 72,170,937.38/9,808.04
  6. Step 6: Final answer
    x = 7,358.34

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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.