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Finding the Fourth Proportional to 8,945.84, 13,414.47 and 3,319.65

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Solution

The fourth proportional to 8,945.84, 13,414.47 and 3,319.65 is: 4,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.84 : 13,414.47 = 3,319.65 : x
  2. Step 2: Convert to fraction form
    8,945.84/13,414.47 = 3,319.65/x
  3. Step 3: Cross multiply
    8,945.84x = 13,414.47 × 3,319.65
  4. Step 4: Simplify right side
    8,945.84x = 44,531,345.34
  5. Step 5: Solve for x
    x = 44,531,345.34/8,945.84
  6. Step 6: Final answer
    x = 4,977.88

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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.