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Finding the Fourth Proportional to 6,009.95, 9,008.42 and 2,057.55

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Solution

The fourth proportional to 6,009.95, 9,008.42 and 2,057.55 is: 3,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.95 : 9,008.42 = 2,057.55 : x
  2. Step 2: Convert to fraction form
    6,009.95/9,008.42 = 2,057.55/x
  3. Step 3: Cross multiply
    6,009.95x = 9,008.42 × 2,057.55
  4. Step 4: Simplify right side
    6,009.95x = 18,535,264.28
  5. Step 5: Solve for x
    x = 18,535,264.28/6,009.95
  6. Step 6: Final answer
    x = 3,084.10

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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.