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Finding the Fourth Proportional to 9,578.72, 14,367.90 and 4,648.76

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Solution

The fourth proportional to 9,578.72, 14,367.90 and 4,648.76 is: 6,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.72 : 14,367.90 = 4,648.76 : x
  2. Step 2: Convert to fraction form
    9,578.72/14,367.90 = 4,648.76/x
  3. Step 3: Cross multiply
    9,578.72x = 14,367.90 × 4,648.76
  4. Step 4: Simplify right side
    9,578.72x = 66,792,918.80
  5. Step 5: Solve for x
    x = 66,792,918.80/9,578.72
  6. Step 6: Final answer
    x = 6,973.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.