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Finding the Fourth Proportional to 9,306.30, 13,959.45 and 8,874.30

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Solution

The fourth proportional to 9,306.30, 13,959.45 and 8,874.30 is: 13,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.30 : 13,959.45 = 8,874.30 : x
  2. Step 2: Convert to fraction form
    9,306.30/13,959.45 = 8,874.30/x
  3. Step 3: Cross multiply
    9,306.30x = 13,959.45 × 8,874.30
  4. Step 4: Simplify right side
    9,306.30x = 123,880,347.14
  5. Step 5: Solve for x
    x = 123,880,347.14/9,306.30
  6. Step 6: Final answer
    x = 13,311.45

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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.