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Finding the Fourth Proportional to 6,415.40, 9,616.62 and 3,487.52

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Solution

The fourth proportional to 6,415.40, 9,616.62 and 3,487.52 is: 5,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.40 : 9,616.62 = 3,487.52 : x
  2. Step 2: Convert to fraction form
    6,415.40/9,616.62 = 3,487.52/x
  3. Step 3: Cross multiply
    6,415.40x = 9,616.62 × 3,487.52
  4. Step 4: Simplify right side
    6,415.40x = 33,538,154.58
  5. Step 5: Solve for x
    x = 33,538,154.58/6,415.40
  6. Step 6: Final answer
    x = 5,227.76

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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.