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Finding the Fourth Proportional to 6,077.84, 9,113.16 and 3,613.04

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Solution

The fourth proportional to 6,077.84, 9,113.16 and 3,613.04 is: 5,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.84 : 9,113.16 = 3,613.04 : x
  2. Step 2: Convert to fraction form
    6,077.84/9,113.16 = 3,613.04/x
  3. Step 3: Cross multiply
    6,077.84x = 9,113.16 × 3,613.04
  4. Step 4: Simplify right side
    6,077.84x = 32,926,211.61
  5. Step 5: Solve for x
    x = 32,926,211.61/6,077.84
  6. Step 6: Final answer
    x = 5,417.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.