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Finding the Fourth Proportional to 9,314.28, 12,853.62 and 5,122.53

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Solution

The fourth proportional to 9,314.28, 12,853.62 and 5,122.53 is: 7,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.28 : 12,853.62 = 5,122.53 : x
  2. Step 2: Convert to fraction form
    9,314.28/12,853.62 = 5,122.53/x
  3. Step 3: Cross multiply
    9,314.28x = 12,853.62 × 5,122.53
  4. Step 4: Simplify right side
    9,314.28x = 65,843,054.06
  5. Step 5: Solve for x
    x = 65,843,054.06/9,314.28
  6. Step 6: Final answer
    x = 7,069.04

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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.