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Finding the Fourth Proportional to 6,815.36, 9,423.60 and 6,500

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Solution

The fourth proportional to 6,815.36, 9,423.60 and 6,500 is: 8,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.36 : 9,423.60 = 6,500 : x
  2. Step 2: Convert to fraction form
    6,815.36/9,423.60 = 6,500/x
  3. Step 3: Cross multiply
    6,815.36x = 9,423.60 × 6,500
  4. Step 4: Simplify right side
    6,815.36x = 61,253,400
  5. Step 5: Solve for x
    x = 61,253,400/6,815.36
  6. Step 6: Final answer
    x = 8,987.55

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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.