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Finding the Fourth Proportional to 6,462.60, 9,691.14 and 2,457.36

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Solution

The fourth proportional to 6,462.60, 9,691.14 and 2,457.36 is: 3,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.60 : 9,691.14 = 2,457.36 : x
  2. Step 2: Convert to fraction form
    6,462.60/9,691.14 = 2,457.36/x
  3. Step 3: Cross multiply
    6,462.60x = 9,691.14 × 2,457.36
  4. Step 4: Simplify right side
    6,462.60x = 23,814,619.79
  5. Step 5: Solve for x
    x = 23,814,619.79/6,462.60
  6. Step 6: Final answer
    x = 3,684.99

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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.