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Finding the Fourth Proportional to 9,314.36, 12,854.06 and 5,122.72

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Solution

The fourth proportional to 9,314.36, 12,854.06 and 5,122.72 is: 7,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.36 : 12,854.06 = 5,122.72 : x
  2. Step 2: Convert to fraction form
    9,314.36/12,854.06 = 5,122.72/x
  3. Step 3: Cross multiply
    9,314.36x = 12,854.06 × 5,122.72
  4. Step 4: Simplify right side
    9,314.36x = 65,847,750.24
  5. Step 5: Solve for x
    x = 65,847,750.24/9,314.36
  6. Step 6: Final answer
    x = 7,069.49

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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.