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Finding the Fourth Proportional to 6,257.52, 9,384.66 and 2,559.06

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Solution

The fourth proportional to 6,257.52, 9,384.66 and 2,559.06 is: 3,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.52 : 9,384.66 = 2,559.06 : x
  2. Step 2: Convert to fraction form
    6,257.52/9,384.66 = 2,559.06/x
  3. Step 3: Cross multiply
    6,257.52x = 9,384.66 × 2,559.06
  4. Step 4: Simplify right side
    6,257.52x = 24,015,908.02
  5. Step 5: Solve for x
    x = 24,015,908.02/6,257.52
  6. Step 6: Final answer
    x = 3,837.93

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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.