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Finding the Fourth Proportional to 6,114.71, 9,171.45 and 2,415.98

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Solution

The fourth proportional to 6,114.71, 9,171.45 and 2,415.98 is: 3,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.71 : 9,171.45 = 2,415.98 : x
  2. Step 2: Convert to fraction form
    6,114.71/9,171.45 = 2,415.98/x
  3. Step 3: Cross multiply
    6,114.71x = 9,171.45 × 2,415.98
  4. Step 4: Simplify right side
    6,114.71x = 22,157,993.91
  5. Step 5: Solve for x
    x = 22,157,993.91/6,114.71
  6. Step 6: Final answer
    x = 3,623.72

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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.