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Finding the Fourth Proportional to 9,864.64, 14,789.64 and 5,968.12

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Solution

The fourth proportional to 9,864.64, 14,789.64 and 5,968.12 is: 8,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.64 : 14,789.64 = 5,968.12 : x
  2. Step 2: Convert to fraction form
    9,864.64/14,789.64 = 5,968.12/x
  3. Step 3: Cross multiply
    9,864.64x = 14,789.64 × 5,968.12
  4. Step 4: Simplify right side
    9,864.64x = 88,266,346.28
  5. Step 5: Solve for x
    x = 88,266,346.28/9,864.64
  6. Step 6: Final answer
    x = 8,947.75

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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.