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Finding the Fourth Proportional to 9,635.68, 13,296.90 and 5,443.84

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Solution

The fourth proportional to 9,635.68, 13,296.90 and 5,443.84 is: 7,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.68 : 13,296.90 = 5,443.84 : x
  2. Step 2: Convert to fraction form
    9,635.68/13,296.90 = 5,443.84/x
  3. Step 3: Cross multiply
    9,635.68x = 13,296.90 × 5,443.84
  4. Step 4: Simplify right side
    9,635.68x = 72,386,196.10
  5. Step 5: Solve for x
    x = 72,386,196.10/9,635.68
  6. Step 6: Final answer
    x = 7,512.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.