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Finding the Fourth Proportional to 9,587.67, 14,314.25 and 8,111.85

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Solution

The fourth proportional to 9,587.67, 14,314.25 and 8,111.85 is: 12,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.67 : 14,314.25 = 8,111.85 : x
  2. Step 2: Convert to fraction form
    9,587.67/14,314.25 = 8,111.85/x
  3. Step 3: Cross multiply
    9,587.67x = 14,314.25 × 8,111.85
  4. Step 4: Simplify right side
    9,587.67x = 116,114,977.29
  5. Step 5: Solve for x
    x = 116,114,977.29/9,587.67
  6. Step 6: Final answer
    x = 12,110.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.