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Finding the Fourth Proportional to 6,415.48, 9,617.28 and 3,494.08

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Solution

The fourth proportional to 6,415.48, 9,617.28 and 3,494.08 is: 5,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.48 : 9,617.28 = 3,494.08 : x
  2. Step 2: Convert to fraction form
    6,415.48/9,617.28 = 3,494.08/x
  3. Step 3: Cross multiply
    6,415.48x = 9,617.28 × 3,494.08
  4. Step 4: Simplify right side
    6,415.48x = 33,603,545.70
  5. Step 5: Solve for x
    x = 33,603,545.70/6,415.48
  6. Step 6: Final answer
    x = 5,237.88

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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.