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Finding the Fourth Proportional to 9,366.78, 12,931.74 and 5,834.82

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Solution

The fourth proportional to 9,366.78, 12,931.74 and 5,834.82 is: 8,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.78 : 12,931.74 = 5,834.82 : x
  2. Step 2: Convert to fraction form
    9,366.78/12,931.74 = 5,834.82/x
  3. Step 3: Cross multiply
    9,366.78x = 12,931.74 × 5,834.82
  4. Step 4: Simplify right side
    9,366.78x = 75,454,375.19
  5. Step 5: Solve for x
    x = 75,454,375.19/9,366.78
  6. Step 6: Final answer
    x = 8,055.53

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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.