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Finding the Fourth Proportional to 9,586.95, 14,379.24 and 2,567.49

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Solution

The fourth proportional to 9,586.95, 14,379.24 and 2,567.49 is: 3,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.95 : 14,379.24 = 2,567.49 : x
  2. Step 2: Convert to fraction form
    9,586.95/14,379.24 = 2,567.49/x
  3. Step 3: Cross multiply
    9,586.95x = 14,379.24 × 2,567.49
  4. Step 4: Simplify right side
    9,586.95x = 36,918,554.91
  5. Step 5: Solve for x
    x = 36,918,554.91/9,586.95
  6. Step 6: Final answer
    x = 3,850.92

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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.