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Finding the Fourth Proportional to 6,572.16, 9,858.24 and 3,493.44

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Solution

The fourth proportional to 6,572.16, 9,858.24 and 3,493.44 is: 5,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.16 : 9,858.24 = 3,493.44 : x
  2. Step 2: Convert to fraction form
    6,572.16/9,858.24 = 3,493.44/x
  3. Step 3: Cross multiply
    6,572.16x = 9,858.24 × 3,493.44
  4. Step 4: Simplify right side
    6,572.16x = 34,439,169.95
  5. Step 5: Solve for x
    x = 34,439,169.95/6,572.16
  6. Step 6: Final answer
    x = 5,240.16

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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.