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Finding the Fourth Proportional to 9,314.84, 13,963.58 and 6,394.52

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Solution

The fourth proportional to 9,314.84, 13,963.58 and 6,394.52 is: 9,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.84 : 13,963.58 = 6,394.52 : x
  2. Step 2: Convert to fraction form
    9,314.84/13,963.58 = 6,394.52/x
  3. Step 3: Cross multiply
    9,314.84x = 13,963.58 × 6,394.52
  4. Step 4: Simplify right side
    9,314.84x = 89,290,391.58
  5. Step 5: Solve for x
    x = 89,290,391.58/9,314.84
  6. Step 6: Final answer
    x = 9,585.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.