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Finding the Fourth Proportional to 6,865.78, 9,465.62 and 5,454.15

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Solution

The fourth proportional to 6,865.78, 9,465.62 and 5,454.15 is: 7,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.78 : 9,465.62 = 5,454.15 : x
  2. Step 2: Convert to fraction form
    6,865.78/9,465.62 = 5,454.15/x
  3. Step 3: Cross multiply
    6,865.78x = 9,465.62 × 5,454.15
  4. Step 4: Simplify right side
    6,865.78x = 51,626,919.55
  5. Step 5: Solve for x
    x = 51,626,919.55/6,865.78
  6. Step 6: Final answer
    x = 7,519.45

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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.