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Finding the Fourth Proportional to 6,287.76, 9,430.20 and 2,826

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Solution

The fourth proportional to 6,287.76, 9,430.20 and 2,826 is: 4,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.76 : 9,430.20 = 2,826 : x
  2. Step 2: Convert to fraction form
    6,287.76/9,430.20 = 2,826/x
  3. Step 3: Cross multiply
    6,287.76x = 9,430.20 × 2,826
  4. Step 4: Simplify right side
    6,287.76x = 26,649,745.20
  5. Step 5: Solve for x
    x = 26,649,745.20/6,287.76
  6. Step 6: Final answer
    x = 4,238.35

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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.