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Finding the Fourth Proportional to 9,774.32, 14,667.48 and 8,150.96

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Solution

The fourth proportional to 9,774.32, 14,667.48 and 8,150.96 is: 12,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.32 : 14,667.48 = 8,150.96 : x
  2. Step 2: Convert to fraction form
    9,774.32/14,667.48 = 8,150.96/x
  3. Step 3: Cross multiply
    9,774.32x = 14,667.48 × 8,150.96
  4. Step 4: Simplify right side
    9,774.32x = 119,554,042.78
  5. Step 5: Solve for x
    x = 119,554,042.78/9,774.32
  6. Step 6: Final answer
    x = 12,231.44

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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.