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Finding the Fourth Proportional to 6,737.52, 9,298.12 and 4,085.04

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Solution

The fourth proportional to 6,737.52, 9,298.12 and 4,085.04 is: 5,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.52 : 9,298.12 = 4,085.04 : x
  2. Step 2: Convert to fraction form
    6,737.52/9,298.12 = 4,085.04/x
  3. Step 3: Cross multiply
    6,737.52x = 9,298.12 × 4,085.04
  4. Step 4: Simplify right side
    6,737.52x = 37,983,192.12
  5. Step 5: Solve for x
    x = 37,983,192.12/6,737.52
  6. Step 6: Final answer
    x = 5,637.56

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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.