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Finding the Fourth Proportional to 9,314.22, 12,853.55 and 5,065.28

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Solution

The fourth proportional to 9,314.22, 12,853.55 and 5,065.28 is: 6,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.22 : 12,853.55 = 5,065.28 : x
  2. Step 2: Convert to fraction form
    9,314.22/12,853.55 = 5,065.28/x
  3. Step 3: Cross multiply
    9,314.22x = 12,853.55 × 5,065.28
  4. Step 4: Simplify right side
    9,314.22x = 65,106,836.55
  5. Step 5: Solve for x
    x = 65,106,836.55/9,314.22
  6. Step 6: Final answer
    x = 6,990.05

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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.