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Finding the Fourth Proportional to 9,538.92, 13,164.30 and 6,346.71

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Solution

The fourth proportional to 9,538.92, 13,164.30 and 6,346.71 is: 8,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.92 : 13,164.30 = 6,346.71 : x
  2. Step 2: Convert to fraction form
    9,538.92/13,164.30 = 6,346.71/x
  3. Step 3: Cross multiply
    9,538.92x = 13,164.30 × 6,346.71
  4. Step 4: Simplify right side
    9,538.92x = 83,549,994.45
  5. Step 5: Solve for x
    x = 83,549,994.45/9,538.92
  6. Step 6: Final answer
    x = 8,758.85

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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.