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Finding the Fourth Proportional to 9,264.27, 13,893.15 and 5,748.87

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Solution

The fourth proportional to 9,264.27, 13,893.15 and 5,748.87 is: 8,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.27 : 13,893.15 = 5,748.87 : x
  2. Step 2: Convert to fraction form
    9,264.27/13,893.15 = 5,748.87/x
  3. Step 3: Cross multiply
    9,264.27x = 13,893.15 × 5,748.87
  4. Step 4: Simplify right side
    9,264.27x = 79,869,913.24
  5. Step 5: Solve for x
    x = 79,869,913.24/9,264.27
  6. Step 6: Final answer
    x = 8,621.29

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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.