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Finding the Fourth Proportional to 9,296.55, 13,935.41 and 5,581.38

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Solution

The fourth proportional to 9,296.55, 13,935.41 and 5,581.38 is: 8,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.55 : 13,935.41 = 5,581.38 : x
  2. Step 2: Convert to fraction form
    9,296.55/13,935.41 = 5,581.38/x
  3. Step 3: Cross multiply
    9,296.55x = 13,935.41 × 5,581.38
  4. Step 4: Simplify right side
    9,296.55x = 77,778,790.76
  5. Step 5: Solve for x
    x = 77,778,790.76/9,296.55
  6. Step 6: Final answer
    x = 8,366.41

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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.