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Finding the Fourth Proportional to 9,737.88, 14,615.50 and 4,546.68

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Solution

The fourth proportional to 9,737.88, 14,615.50 and 4,546.68 is: 6,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.88 : 14,615.50 = 4,546.68 : x
  2. Step 2: Convert to fraction form
    9,737.88/14,615.50 = 4,546.68/x
  3. Step 3: Cross multiply
    9,737.88x = 14,615.50 × 4,546.68
  4. Step 4: Simplify right side
    9,737.88x = 66,452,001.54
  5. Step 5: Solve for x
    x = 66,452,001.54/9,737.88
  6. Step 6: Final answer
    x = 6,824.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.