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Finding the Fourth Proportional to 6,521.66, 9,778.24 and 4,293.75

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Solution

The fourth proportional to 6,521.66, 9,778.24 and 4,293.75 is: 6,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.66 : 9,778.24 = 4,293.75 : x
  2. Step 2: Convert to fraction form
    6,521.66/9,778.24 = 4,293.75/x
  3. Step 3: Cross multiply
    6,521.66x = 9,778.24 × 4,293.75
  4. Step 4: Simplify right side
    6,521.66x = 41,985,365.24
  5. Step 5: Solve for x
    x = 41,985,365.24/6,521.66
  6. Step 6: Final answer
    x = 6,437.83

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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.