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Finding the Fourth Proportional to 9,667.80, 13,340.52 and 5,687.52

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Solution

The fourth proportional to 9,667.80, 13,340.52 and 5,687.52 is: 7,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.80 : 13,340.52 = 5,687.52 : x
  2. Step 2: Convert to fraction form
    9,667.80/13,340.52 = 5,687.52/x
  3. Step 3: Cross multiply
    9,667.80x = 13,340.52 × 5,687.52
  4. Step 4: Simplify right side
    9,667.80x = 75,874,474.31
  5. Step 5: Solve for x
    x = 75,874,474.31/9,667.80
  6. Step 6: Final answer
    x = 7,848.16

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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.