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Finding the Fourth Proportional to 7,001.32, 9,661.82 and 3,857.50

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Solution

The fourth proportional to 7,001.32, 9,661.82 and 3,857.50 is: 5,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.32 : 9,661.82 = 3,857.50 : x
  2. Step 2: Convert to fraction form
    7,001.32/9,661.82 = 3,857.50/x
  3. Step 3: Cross multiply
    7,001.32x = 9,661.82 × 3,857.50
  4. Step 4: Simplify right side
    7,001.32x = 37,270,470.65
  5. Step 5: Solve for x
    x = 37,270,470.65/7,001.32
  6. Step 6: Final answer
    x = 5,323.35

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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.