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Finding the Fourth Proportional to 6,737.87, 9,295.74 and 6,727.50

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Solution

The fourth proportional to 6,737.87, 9,295.74 and 6,727.50 is: 9,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.87 : 9,295.74 = 6,727.50 : x
  2. Step 2: Convert to fraction form
    6,737.87/9,295.74 = 6,727.50/x
  3. Step 3: Cross multiply
    6,737.87x = 9,295.74 × 6,727.50
  4. Step 4: Simplify right side
    6,737.87x = 62,537,090.85
  5. Step 5: Solve for x
    x = 62,537,090.85/6,737.87
  6. Step 6: Final answer
    x = 9,281.43

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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.