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Finding the Fourth Proportional to 9,291.15, 13,914 and 8,391.57

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Solution

The fourth proportional to 9,291.15, 13,914 and 8,391.57 is: 12,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.15 : 13,914 = 8,391.57 : x
  2. Step 2: Convert to fraction form
    9,291.15/13,914 = 8,391.57/x
  3. Step 3: Cross multiply
    9,291.15x = 13,914 × 8,391.57
  4. Step 4: Simplify right side
    9,291.15x = 116,760,304.98
  5. Step 5: Solve for x
    x = 116,760,304.98/9,291.15
  6. Step 6: Final answer
    x = 12,566.83

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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.