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Finding the Fourth Proportional to 9,114.75, 12,578.36 and 4,923

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Solution

The fourth proportional to 9,114.75, 12,578.36 and 4,923 is: 6,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.75 : 12,578.36 = 4,923 : x
  2. Step 2: Convert to fraction form
    9,114.75/12,578.36 = 4,923/x
  3. Step 3: Cross multiply
    9,114.75x = 12,578.36 × 4,923
  4. Step 4: Simplify right side
    9,114.75x = 61,923,283.20
  5. Step 5: Solve for x
    x = 61,923,283.20/9,114.75
  6. Step 6: Final answer
    x = 6,793.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.