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Finding the Fourth Proportional to 9,742.16, 13,447.68 and 5,766.68

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Solution

The fourth proportional to 9,742.16, 13,447.68 and 5,766.68 is: 7,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.16 : 13,447.68 = 5,766.68 : x
  2. Step 2: Convert to fraction form
    9,742.16/13,447.68 = 5,766.68/x
  3. Step 3: Cross multiply
    9,742.16x = 13,447.68 × 5,766.68
  4. Step 4: Simplify right side
    9,742.16x = 77,548,467.30
  5. Step 5: Solve for x
    x = 77,548,467.30/9,742.16
  6. Step 6: Final answer
    x = 7,960.09

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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.