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Finding the Fourth Proportional to 9,937.67, 13,704.56 and 6,528.68

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Solution

The fourth proportional to 9,937.67, 13,704.56 and 6,528.68 is: 9,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.67 : 13,704.56 = 6,528.68 : x
  2. Step 2: Convert to fraction form
    9,937.67/13,704.56 = 6,528.68/x
  3. Step 3: Cross multiply
    9,937.67x = 13,704.56 × 6,528.68
  4. Step 4: Simplify right side
    9,937.67x = 89,472,712.88
  5. Step 5: Solve for x
    x = 89,472,712.88/9,937.67
  6. Step 6: Final answer
    x = 9,003.39

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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.