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Finding the Fourth Proportional to 6,291.83, 9,437.85 and 3,175.76

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Solution

The fourth proportional to 6,291.83, 9,437.85 and 3,175.76 is: 4,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.83 : 9,437.85 = 3,175.76 : x
  2. Step 2: Convert to fraction form
    6,291.83/9,437.85 = 3,175.76/x
  3. Step 3: Cross multiply
    6,291.83x = 9,437.85 × 3,175.76
  4. Step 4: Simplify right side
    6,291.83x = 29,972,370.11
  5. Step 5: Solve for x
    x = 29,972,370.11/6,291.83
  6. Step 6: Final answer
    x = 4,763.69

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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.