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Finding the Fourth Proportional to 9,100.18, 13,640.95 and 5,145.76

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Solution

The fourth proportional to 9,100.18, 13,640.95 and 5,145.76 is: 7,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.18 : 13,640.95 = 5,145.76 : x
  2. Step 2: Convert to fraction form
    9,100.18/13,640.95 = 5,145.76/x
  3. Step 3: Cross multiply
    9,100.18x = 13,640.95 × 5,145.76
  4. Step 4: Simplify right side
    9,100.18x = 70,193,027.20
  5. Step 5: Solve for x
    x = 70,193,027.20/9,100.18
  6. Step 6: Final answer
    x = 7,713.37

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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.