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Finding the Fourth Proportional to 6,595.26, 9,098.91 and 4,238.70

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Solution

The fourth proportional to 6,595.26, 9,098.91 and 4,238.70 is: 5,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.26 : 9,098.91 = 4,238.70 : x
  2. Step 2: Convert to fraction form
    6,595.26/9,098.91 = 4,238.70/x
  3. Step 3: Cross multiply
    6,595.26x = 9,098.91 × 4,238.70
  4. Step 4: Simplify right side
    6,595.26x = 38,567,549.82
  5. Step 5: Solve for x
    x = 38,567,549.82/6,595.26
  6. Step 6: Final answer
    x = 5,847.77

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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.