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Finding the Fourth Proportional to 9,144.28, 12,619.13 and 4,952.53

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Solution

The fourth proportional to 9,144.28, 12,619.13 and 4,952.53 is: 6,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.28 : 12,619.13 = 4,952.53 : x
  2. Step 2: Convert to fraction form
    9,144.28/12,619.13 = 4,952.53/x
  3. Step 3: Cross multiply
    9,144.28x = 12,619.13 × 4,952.53
  4. Step 4: Simplify right side
    9,144.28x = 62,496,619.90
  5. Step 5: Solve for x
    x = 62,496,619.90/9,144.28
  6. Step 6: Final answer
    x = 6,834.50

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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.