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Finding the Fourth Proportional to 6,111.69, 9,164.43 and 2,987.02

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Solution

The fourth proportional to 6,111.69, 9,164.43 and 2,987.02 is: 4,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.69 : 9,164.43 = 2,987.02 : x
  2. Step 2: Convert to fraction form
    6,111.69/9,164.43 = 2,987.02/x
  3. Step 3: Cross multiply
    6,111.69x = 9,164.43 × 2,987.02
  4. Step 4: Simplify right side
    6,111.69x = 27,374,335.70
  5. Step 5: Solve for x
    x = 27,374,335.70/6,111.69
  6. Step 6: Final answer
    x = 4,479.02

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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.