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Finding the Fourth Proportional to 6,111.89, 9,164.90 and 2,988.24

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Solution

The fourth proportional to 6,111.89, 9,164.90 and 2,988.24 is: 4,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.89 : 9,164.90 = 2,988.24 : x
  2. Step 2: Convert to fraction form
    6,111.89/9,164.90 = 2,988.24/x
  3. Step 3: Cross multiply
    6,111.89x = 9,164.90 × 2,988.24
  4. Step 4: Simplify right side
    6,111.89x = 27,386,905.83
  5. Step 5: Solve for x
    x = 27,386,905.83/6,111.89
  6. Step 6: Final answer
    x = 4,480.93

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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.