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Finding the Fourth Proportional to 6,737.60, 9,295.24 and 4,218.63

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Solution

The fourth proportional to 6,737.60, 9,295.24 and 4,218.63 is: 5,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.60 : 9,295.24 = 4,218.63 : x
  2. Step 2: Convert to fraction form
    6,737.60/9,295.24 = 4,218.63/x
  3. Step 3: Cross multiply
    6,737.60x = 9,295.24 × 4,218.63
  4. Step 4: Simplify right side
    6,737.60x = 39,213,178.32
  5. Step 5: Solve for x
    x = 39,213,178.32/6,737.60
  6. Step 6: Final answer
    x = 5,820.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.