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Finding the Fourth Proportional to 9,105.18, 13,635.90 and 5,197.74

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Solution

The fourth proportional to 9,105.18, 13,635.90 and 5,197.74 is: 7,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.18 : 13,635.90 = 5,197.74 : x
  2. Step 2: Convert to fraction form
    9,105.18/13,635.90 = 5,197.74/x
  3. Step 3: Cross multiply
    9,105.18x = 13,635.90 × 5,197.74
  4. Step 4: Simplify right side
    9,105.18x = 70,875,862.87
  5. Step 5: Solve for x
    x = 70,875,862.87/9,105.18
  6. Step 6: Final answer
    x = 7,784.13

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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.