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Finding the Fourth Proportional to 6,114.46, 9,153.23 and 5,529.74

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Solution

The fourth proportional to 6,114.46, 9,153.23 and 5,529.74 is: 8,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.46 : 9,153.23 = 5,529.74 : x
  2. Step 2: Convert to fraction form
    6,114.46/9,153.23 = 5,529.74/x
  3. Step 3: Cross multiply
    6,114.46x = 9,153.23 × 5,529.74
  4. Step 4: Simplify right side
    6,114.46x = 50,614,913.72
  5. Step 5: Solve for x
    x = 50,614,913.72/6,114.46
  6. Step 6: Final answer
    x = 8,277.91

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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.