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Finding the Fourth Proportional to 9,294.62, 12,826.98 and 5,314.66

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Solution

The fourth proportional to 9,294.62, 12,826.98 and 5,314.66 is: 7,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.62 : 12,826.98 = 5,314.66 : x
  2. Step 2: Convert to fraction form
    9,294.62/12,826.98 = 5,314.66/x
  3. Step 3: Cross multiply
    9,294.62x = 12,826.98 × 5,314.66
  4. Step 4: Simplify right side
    9,294.62x = 68,171,037.53
  5. Step 5: Solve for x
    x = 68,171,037.53/9,294.62
  6. Step 6: Final answer
    x = 7,334.46

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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.