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Finding the Fourth Proportional to 6,328.41, 9,478.26 and 5,074.64

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Solution

The fourth proportional to 6,328.41, 9,478.26 and 5,074.64 is: 7,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.41 : 9,478.26 = 5,074.64 : x
  2. Step 2: Convert to fraction form
    6,328.41/9,478.26 = 5,074.64/x
  3. Step 3: Cross multiply
    6,328.41x = 9,478.26 × 5,074.64
  4. Step 4: Simplify right side
    6,328.41x = 48,098,781.02
  5. Step 5: Solve for x
    x = 48,098,781.02/6,328.41
  6. Step 6: Final answer
    x = 7,600.45

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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.