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Finding the Fourth Proportional to 6,373.80, 9,541.80 and 4,737.60

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Solution

The fourth proportional to 6,373.80, 9,541.80 and 4,737.60 is: 7,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.80 : 9,541.80 = 4,737.60 : x
  2. Step 2: Convert to fraction form
    6,373.80/9,541.80 = 4,737.60/x
  3. Step 3: Cross multiply
    6,373.80x = 9,541.80 × 4,737.60
  4. Step 4: Simplify right side
    6,373.80x = 45,205,231.68
  5. Step 5: Solve for x
    x = 45,205,231.68/6,373.80
  6. Step 6: Final answer
    x = 7,092.35

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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.