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Finding the Fourth Proportional to 6,336.54, 9,502.05 and 1,953

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Solution

The fourth proportional to 6,336.54, 9,502.05 and 1,953 is: 2,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.54 : 9,502.05 = 1,953 : x
  2. Step 2: Convert to fraction form
    6,336.54/9,502.05 = 1,953/x
  3. Step 3: Cross multiply
    6,336.54x = 9,502.05 × 1,953
  4. Step 4: Simplify right side
    6,336.54x = 18,557,503.65
  5. Step 5: Solve for x
    x = 18,557,503.65/6,336.54
  6. Step 6: Final answer
    x = 2,928.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.