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Finding the Fourth Proportional to 6,312.56, 9,468.40 and 2,613.84

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Solution

The fourth proportional to 6,312.56, 9,468.40 and 2,613.84 is: 3,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.56 : 9,468.40 = 2,613.84 : x
  2. Step 2: Convert to fraction form
    6,312.56/9,468.40 = 2,613.84/x
  3. Step 3: Cross multiply
    6,312.56x = 9,468.40 × 2,613.84
  4. Step 4: Simplify right side
    6,312.56x = 24,748,882.66
  5. Step 5: Solve for x
    x = 24,748,882.66/6,312.56
  6. Step 6: Final answer
    x = 3,920.58

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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.