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Finding the Fourth Proportional to 9,101.38, 13,652.07 and 2,861.95

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Solution

The fourth proportional to 9,101.38, 13,652.07 and 2,861.95 is: 4,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.38 : 13,652.07 = 2,861.95 : x
  2. Step 2: Convert to fraction form
    9,101.38/13,652.07 = 2,861.95/x
  3. Step 3: Cross multiply
    9,101.38x = 13,652.07 × 2,861.95
  4. Step 4: Simplify right side
    9,101.38x = 39,071,541.74
  5. Step 5: Solve for x
    x = 39,071,541.74/9,101.38
  6. Step 6: Final answer
    x = 4,292.93

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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.