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Finding the Fourth Proportional to 6,254.44, 9,381.48 and 2,965.24

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Solution

The fourth proportional to 6,254.44, 9,381.48 and 2,965.24 is: 4,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.44 : 9,381.48 = 2,965.24 : x
  2. Step 2: Convert to fraction form
    6,254.44/9,381.48 = 2,965.24/x
  3. Step 3: Cross multiply
    6,254.44x = 9,381.48 × 2,965.24
  4. Step 4: Simplify right side
    6,254.44x = 27,818,339.76
  5. Step 5: Solve for x
    x = 27,818,339.76/6,254.44
  6. Step 6: Final answer
    x = 4,447.77

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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.