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Finding the Fourth Proportional to 6,257.15, 9,378.57 and 2,965.58

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Solution

The fourth proportional to 6,257.15, 9,378.57 and 2,965.58 is: 4,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.15 : 9,378.57 = 2,965.58 : x
  2. Step 2: Convert to fraction form
    6,257.15/9,378.57 = 2,965.58/x
  3. Step 3: Cross multiply
    6,257.15x = 9,378.57 × 2,965.58
  4. Step 4: Simplify right side
    6,257.15x = 27,812,899.62
  5. Step 5: Solve for x
    x = 27,812,899.62/6,257.15
  6. Step 6: Final answer
    x = 4,444.98

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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.