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Finding the Fourth Proportional to 6,036.96, 9,057.33 and 1,820.40

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Solution

The fourth proportional to 6,036.96, 9,057.33 and 1,820.40 is: 2,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.96 : 9,057.33 = 1,820.40 : x
  2. Step 2: Convert to fraction form
    6,036.96/9,057.33 = 1,820.40/x
  3. Step 3: Cross multiply
    6,036.96x = 9,057.33 × 1,820.40
  4. Step 4: Simplify right side
    6,036.96x = 16,487,963.53
  5. Step 5: Solve for x
    x = 16,487,963.53/6,036.96
  6. Step 6: Final answer
    x = 2,731.17

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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.