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Finding the Fourth Proportional to 6,350.34, 9,515.94 and 5,658.25

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Solution

The fourth proportional to 6,350.34, 9,515.94 and 5,658.25 is: 8,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.34 : 9,515.94 = 5,658.25 : x
  2. Step 2: Convert to fraction form
    6,350.34/9,515.94 = 5,658.25/x
  3. Step 3: Cross multiply
    6,350.34x = 9,515.94 × 5,658.25
  4. Step 4: Simplify right side
    6,350.34x = 53,843,519.93
  5. Step 5: Solve for x
    x = 53,843,519.93/6,350.34
  6. Step 6: Final answer
    x = 8,478.84

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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.