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Finding the Fourth Proportional to 9,578.60, 14,362.48 and 3,728.48

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Solution

The fourth proportional to 9,578.60, 14,362.48 and 3,728.48 is: 5,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.60 : 14,362.48 = 3,728.48 : x
  2. Step 2: Convert to fraction form
    9,578.60/14,362.48 = 3,728.48/x
  3. Step 3: Cross multiply
    9,578.60x = 14,362.48 × 3,728.48
  4. Step 4: Simplify right side
    9,578.60x = 53,550,219.43
  5. Step 5: Solve for x
    x = 53,550,219.43/9,578.60
  6. Step 6: Final answer
    x = 5,590.61

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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.