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Finding the Fourth Proportional to 9,306.98, 13,963.50 and 4,377.11

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Solution

The fourth proportional to 9,306.98, 13,963.50 and 4,377.11 is: 6,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.98 : 13,963.50 = 4,377.11 : x
  2. Step 2: Convert to fraction form
    9,306.98/13,963.50 = 4,377.11/x
  3. Step 3: Cross multiply
    9,306.98x = 13,963.50 × 4,377.11
  4. Step 4: Simplify right side
    9,306.98x = 61,119,775.49
  5. Step 5: Solve for x
    x = 61,119,775.49/9,306.98
  6. Step 6: Final answer
    x = 6,567.09

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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.