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Finding the Fourth Proportional to 9,737.64, 13,444.38 and 7,495.56

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Solution

The fourth proportional to 9,737.64, 13,444.38 and 7,495.56 is: 10,348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.64 : 13,444.38 = 7,495.56 : x
  2. Step 2: Convert to fraction form
    9,737.64/13,444.38 = 7,495.56/x
  3. Step 3: Cross multiply
    9,737.64x = 13,444.38 × 7,495.56
  4. Step 4: Simplify right side
    9,737.64x = 100,773,156.95
  5. Step 5: Solve for x
    x = 100,773,156.95/9,737.64
  6. Step 6: Final answer
    x = 10,348.83

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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.