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Finding the Fourth Proportional to 9,253.64, 13,870.71 and 3,987.41

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Solution

The fourth proportional to 9,253.64, 13,870.71 and 3,987.41 is: 5,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.64 : 13,870.71 = 3,987.41 : x
  2. Step 2: Convert to fraction form
    9,253.64/13,870.71 = 3,987.41/x
  3. Step 3: Cross multiply
    9,253.64x = 13,870.71 × 3,987.41
  4. Step 4: Simplify right side
    9,253.64x = 55,308,207.76
  5. Step 5: Solve for x
    x = 55,308,207.76/9,253.64
  6. Step 6: Final answer
    x = 5,976.91

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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.