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Finding the Fourth Proportional to 6,294.06, 9,441.02 and 2,595.20

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Solution

The fourth proportional to 6,294.06, 9,441.02 and 2,595.20 is: 3,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.06 : 9,441.02 = 2,595.20 : x
  2. Step 2: Convert to fraction form
    6,294.06/9,441.02 = 2,595.20/x
  3. Step 3: Cross multiply
    6,294.06x = 9,441.02 × 2,595.20
  4. Step 4: Simplify right side
    6,294.06x = 24,501,294.39
  5. Step 5: Solve for x
    x = 24,501,294.39/6,294.06
  6. Step 6: Final answer
    x = 3,892.76

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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.