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Finding the Fourth Proportional to 9,306.90, 14,034.06 and 8,286.30

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Solution

The fourth proportional to 9,306.90, 14,034.06 and 8,286.30 is: 12,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.90 : 14,034.06 = 8,286.30 : x
  2. Step 2: Convert to fraction form
    9,306.90/14,034.06 = 8,286.30/x
  3. Step 3: Cross multiply
    9,306.90x = 14,034.06 × 8,286.30
  4. Step 4: Simplify right side
    9,306.90x = 116,290,431.38
  5. Step 5: Solve for x
    x = 116,290,431.38/9,306.90
  6. Step 6: Final answer
    x = 12,495.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.