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Finding the Fourth Proportional to 6,103.66, 9,155.48 and 2,814.95

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Solution

The fourth proportional to 6,103.66, 9,155.48 and 2,814.95 is: 4,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.66 : 9,155.48 = 2,814.95 : x
  2. Step 2: Convert to fraction form
    6,103.66/9,155.48 = 2,814.95/x
  3. Step 3: Cross multiply
    6,103.66x = 9,155.48 × 2,814.95
  4. Step 4: Simplify right side
    6,103.66x = 25,772,248.35
  5. Step 5: Solve for x
    x = 25,772,248.35/6,103.66
  6. Step 6: Final answer
    x = 4,222.43

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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.