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Finding the Fourth Proportional to 6,144.59, 9,219.93 and 2,853.77

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Solution

The fourth proportional to 6,144.59, 9,219.93 and 2,853.77 is: 4,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.59 : 9,219.93 = 2,853.77 : x
  2. Step 2: Convert to fraction form
    6,144.59/9,219.93 = 2,853.77/x
  3. Step 3: Cross multiply
    6,144.59x = 9,219.93 × 2,853.77
  4. Step 4: Simplify right side
    6,144.59x = 26,311,502.83
  5. Step 5: Solve for x
    x = 26,311,502.83/6,144.59
  6. Step 6: Final answer
    x = 4,282.06

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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.