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Finding the Fourth Proportional to 6,156.85, 9,238.37 and 2,870.20

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Solution

The fourth proportional to 6,156.85, 9,238.37 and 2,870.20 is: 4,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.85 : 9,238.37 = 2,870.20 : x
  2. Step 2: Convert to fraction form
    6,156.85/9,238.37 = 2,870.20/x
  3. Step 3: Cross multiply
    6,156.85x = 9,238.37 × 2,870.20
  4. Step 4: Simplify right side
    6,156.85x = 26,515,969.57
  5. Step 5: Solve for x
    x = 26,515,969.57/6,156.85
  6. Step 6: Final answer
    x = 4,306.74

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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.