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Finding the Fourth Proportional to 9,314.32, 12,854.30 and 5,334.52

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Solution

The fourth proportional to 9,314.32, 12,854.30 and 5,334.52 is: 7,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.32 : 12,854.30 = 5,334.52 : x
  2. Step 2: Convert to fraction form
    9,314.32/12,854.30 = 5,334.52/x
  3. Step 3: Cross multiply
    9,314.32x = 12,854.30 × 5,334.52
  4. Step 4: Simplify right side
    9,314.32x = 68,571,520.44
  5. Step 5: Solve for x
    x = 68,571,520.44/9,314.32
  6. Step 6: Final answer
    x = 7,361.95

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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.