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Finding the Fourth Proportional to 6,391.74, 9,567.36 and 4,630.80

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Solution

The fourth proportional to 6,391.74, 9,567.36 and 4,630.80 is: 6,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.74 : 9,567.36 = 4,630.80 : x
  2. Step 2: Convert to fraction form
    6,391.74/9,567.36 = 4,630.80/x
  3. Step 3: Cross multiply
    6,391.74x = 9,567.36 × 4,630.80
  4. Step 4: Simplify right side
    6,391.74x = 44,304,530.69
  5. Step 5: Solve for x
    x = 44,304,530.69/6,391.74
  6. Step 6: Final answer
    x = 6,931.53

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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.