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Finding the Fourth Proportional to 6,457.36, 9,671.28 and 3,854.92

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Solution

The fourth proportional to 6,457.36, 9,671.28 and 3,854.92 is: 5,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.36 : 9,671.28 = 3,854.92 : x
  2. Step 2: Convert to fraction form
    6,457.36/9,671.28 = 3,854.92/x
  3. Step 3: Cross multiply
    6,457.36x = 9,671.28 × 3,854.92
  4. Step 4: Simplify right side
    6,457.36x = 37,282,010.70
  5. Step 5: Solve for x
    x = 37,282,010.70/6,457.36
  6. Step 6: Final answer
    x = 5,773.57

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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.