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Finding the Fourth Proportional to 6,734.90, 9,298.62 and 4,381.04

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Solution

The fourth proportional to 6,734.90, 9,298.62 and 4,381.04 is: 6,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.90 : 9,298.62 = 4,381.04 : x
  2. Step 2: Convert to fraction form
    6,734.90/9,298.62 = 4,381.04/x
  3. Step 3: Cross multiply
    6,734.90x = 9,298.62 × 4,381.04
  4. Step 4: Simplify right side
    6,734.90x = 40,737,626.16
  5. Step 5: Solve for x
    x = 40,737,626.16/6,734.90
  6. Step 6: Final answer
    x = 6,048.74

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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.