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Finding the Fourth Proportional to 6,145.63, 9,218.40 and 2,856.90

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Solution

The fourth proportional to 6,145.63, 9,218.40 and 2,856.90 is: 4,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.63 : 9,218.40 = 2,856.90 : x
  2. Step 2: Convert to fraction form
    6,145.63/9,218.40 = 2,856.90/x
  3. Step 3: Cross multiply
    6,145.63x = 9,218.40 × 2,856.90
  4. Step 4: Simplify right side
    6,145.63x = 26,336,046.96
  5. Step 5: Solve for x
    x = 26,336,046.96/6,145.63
  6. Step 6: Final answer
    x = 4,285.33

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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.