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Finding the Fourth Proportional to 9,532.11, 13,165.35 and 6,339.88

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Solution

The fourth proportional to 9,532.11, 13,165.35 and 6,339.88 is: 8,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.11 : 13,165.35 = 6,339.88 : x
  2. Step 2: Convert to fraction form
    9,532.11/13,165.35 = 6,339.88/x
  3. Step 3: Cross multiply
    9,532.11x = 13,165.35 × 6,339.88
  4. Step 4: Simplify right side
    9,532.11x = 83,466,739.16
  5. Step 5: Solve for x
    x = 83,466,739.16/9,532.11
  6. Step 6: Final answer
    x = 8,756.38

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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.