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Finding the Fourth Proportional to 9,310.30, 13,963.02 and 4,377.40

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Solution

The fourth proportional to 9,310.30, 13,963.02 and 4,377.40 is: 6,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.30 : 13,963.02 = 4,377.40 : x
  2. Step 2: Convert to fraction form
    9,310.30/13,963.02 = 4,377.40/x
  3. Step 3: Cross multiply
    9,310.30x = 13,963.02 × 4,377.40
  4. Step 4: Simplify right side
    9,310.30x = 61,121,723.75
  5. Step 5: Solve for x
    x = 61,121,723.75/9,310.30
  6. Step 6: Final answer
    x = 6,564.96

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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.