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Finding the Fourth Proportional to 6,257.48, 9,389.48 and 4,540.28

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Solution

The fourth proportional to 6,257.48, 9,389.48 and 4,540.28 is: 6,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.48 : 9,389.48 = 4,540.28 : x
  2. Step 2: Convert to fraction form
    6,257.48/9,389.48 = 4,540.28/x
  3. Step 3: Cross multiply
    6,257.48x = 9,389.48 × 4,540.28
  4. Step 4: Simplify right side
    6,257.48x = 42,630,868.25
  5. Step 5: Solve for x
    x = 42,630,868.25/6,257.48
  6. Step 6: Final answer
    x = 6,812.79

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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.