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Finding the Fourth Proportional to 6,032.68, 9,043.45 and 4,184.66

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Solution

The fourth proportional to 6,032.68, 9,043.45 and 4,184.66 is: 6,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.68 : 9,043.45 = 4,184.66 : x
  2. Step 2: Convert to fraction form
    6,032.68/9,043.45 = 4,184.66/x
  3. Step 3: Cross multiply
    6,032.68x = 9,043.45 × 4,184.66
  4. Step 4: Simplify right side
    6,032.68x = 37,843,775.62
  5. Step 5: Solve for x
    x = 37,843,775.62/6,032.68
  6. Step 6: Final answer
    x = 6,273.13

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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.