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Finding the Fourth Proportional to 6,553.26, 9,779.57 and 5,852.61

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Solution

The fourth proportional to 6,553.26, 9,779.57 and 5,852.61 is: 8,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.26 : 9,779.57 = 5,852.61 : x
  2. Step 2: Convert to fraction form
    6,553.26/9,779.57 = 5,852.61/x
  3. Step 3: Cross multiply
    6,553.26x = 9,779.57 × 5,852.61
  4. Step 4: Simplify right side
    6,553.26x = 57,235,979.91
  5. Step 5: Solve for x
    x = 57,235,979.91/6,553.26
  6. Step 6: Final answer
    x = 8,733.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.