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Finding the Fourth Proportional to 9,114.50, 12,578.02 and 4,922.76

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Solution

The fourth proportional to 9,114.50, 12,578.02 and 4,922.76 is: 6,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.50 : 12,578.02 = 4,922.76 : x
  2. Step 2: Convert to fraction form
    9,114.50/12,578.02 = 4,922.76/x
  3. Step 3: Cross multiply
    9,114.50x = 12,578.02 × 4,922.76
  4. Step 4: Simplify right side
    9,114.50x = 61,918,573.74
  5. Step 5: Solve for x
    x = 61,918,573.74/9,114.50
  6. Step 6: Final answer
    x = 6,793.41

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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.