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Finding the Fourth Proportional to 9,808.62, 13,535.82 and 5,332.36

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Solution

The fourth proportional to 9,808.62, 13,535.82 and 5,332.36 is: 7,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.62 : 13,535.82 = 5,332.36 : x
  2. Step 2: Convert to fraction form
    9,808.62/13,535.82 = 5,332.36/x
  3. Step 3: Cross multiply
    9,808.62x = 13,535.82 × 5,332.36
  4. Step 4: Simplify right side
    9,808.62x = 72,177,865.14
  5. Step 5: Solve for x
    x = 72,177,865.14/9,808.62
  6. Step 6: Final answer
    x = 7,358.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.