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Finding the Fourth Proportional to 9,415.85, 12,996.18 and 5,439.29

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Solution

The fourth proportional to 9,415.85, 12,996.18 and 5,439.29 is: 7,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.85 : 12,996.18 = 5,439.29 : x
  2. Step 2: Convert to fraction form
    9,415.85/12,996.18 = 5,439.29/x
  3. Step 3: Cross multiply
    9,415.85x = 12,996.18 × 5,439.29
  4. Step 4: Simplify right side
    9,415.85x = 70,689,926.93
  5. Step 5: Solve for x
    x = 70,689,926.93/9,415.85
  6. Step 6: Final answer
    x = 7,507.55

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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.