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Finding the Fourth Proportional to 9,812.38, 13,535.60 and 6,032.92

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Solution

The fourth proportional to 9,812.38, 13,535.60 and 6,032.92 is: 8,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.38 : 13,535.60 = 6,032.92 : x
  2. Step 2: Convert to fraction form
    9,812.38/13,535.60 = 6,032.92/x
  3. Step 3: Cross multiply
    9,812.38x = 13,535.60 × 6,032.92
  4. Step 4: Simplify right side
    9,812.38x = 81,659,191.95
  5. Step 5: Solve for x
    x = 81,659,191.95/9,812.38
  6. Step 6: Final answer
    x = 8,322.06

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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.