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Finding the Fourth Proportional to 9,114.64, 12,572.49 and 5,571.70

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Solution

The fourth proportional to 9,114.64, 12,572.49 and 5,571.70 is: 7,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.64 : 12,572.49 = 5,571.70 : x
  2. Step 2: Convert to fraction form
    9,114.64/12,572.49 = 5,571.70/x
  3. Step 3: Cross multiply
    9,114.64x = 12,572.49 × 5,571.70
  4. Step 4: Simplify right side
    9,114.64x = 70,050,142.53
  5. Step 5: Solve for x
    x = 70,050,142.53/9,114.64
  6. Step 6: Final answer
    x = 7,685.45

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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.