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Finding the Fourth Proportional to 9,314.73, 12,853.75 and 5,334.93

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Solution

The fourth proportional to 9,314.73, 12,853.75 and 5,334.93 is: 7,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.73 : 12,853.75 = 5,334.93 : x
  2. Step 2: Convert to fraction form
    9,314.73/12,853.75 = 5,334.93/x
  3. Step 3: Cross multiply
    9,314.73x = 12,853.75 × 5,334.93
  4. Step 4: Simplify right side
    9,314.73x = 68,573,856.49
  5. Step 5: Solve for x
    x = 68,573,856.49/9,314.73
  6. Step 6: Final answer
    x = 7,361.87

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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.