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Finding the Fourth Proportional to 6,423.75, 9,625.85 and 4,578.75

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Solution

The fourth proportional to 6,423.75, 9,625.85 and 4,578.75 is: 6,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.75 : 9,625.85 = 4,578.75 : x
  2. Step 2: Convert to fraction form
    6,423.75/9,625.85 = 4,578.75/x
  3. Step 3: Cross multiply
    6,423.75x = 9,625.85 × 4,578.75
  4. Step 4: Simplify right side
    6,423.75x = 44,074,337.79
  5. Step 5: Solve for x
    x = 44,074,337.79/6,423.75
  6. Step 6: Final answer
    x = 6,861.15

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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.