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Finding the Fourth Proportional to 6,212.32, 8,572.88 and 3,417.76

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Solution

The fourth proportional to 6,212.32, 8,572.88 and 3,417.76 is: 4,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.32 : 8,572.88 = 3,417.76 : x
  2. Step 2: Convert to fraction form
    6,212.32/8,572.88 = 3,417.76/x
  3. Step 3: Cross multiply
    6,212.32x = 8,572.88 × 3,417.76
  4. Step 4: Simplify right side
    6,212.32x = 29,300,046.35
  5. Step 5: Solve for x
    x = 29,300,046.35/6,212.32
  6. Step 6: Final answer
    x = 4,716.44

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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.