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Finding the Fourth Proportional to 6,013.68, 9,016.32 and 2,312.80

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Solution

The fourth proportional to 6,013.68, 9,016.32 and 2,312.80 is: 3,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.68 : 9,016.32 = 2,312.80 : x
  2. Step 2: Convert to fraction form
    6,013.68/9,016.32 = 2,312.80/x
  3. Step 3: Cross multiply
    6,013.68x = 9,016.32 × 2,312.80
  4. Step 4: Simplify right side
    6,013.68x = 20,852,944.90
  5. Step 5: Solve for x
    x = 20,852,944.90/6,013.68
  6. Step 6: Final answer
    x = 3,467.58

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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.