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Finding the Fourth Proportional to 9,582.57, 14,375.38 and 3,007.20

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Solution

The fourth proportional to 9,582.57, 14,375.38 and 3,007.20 is: 4,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.57 : 14,375.38 = 3,007.20 : x
  2. Step 2: Convert to fraction form
    9,582.57/14,375.38 = 3,007.20/x
  3. Step 3: Cross multiply
    9,582.57x = 14,375.38 × 3,007.20
  4. Step 4: Simplify right side
    9,582.57x = 43,229,642.74
  5. Step 5: Solve for x
    x = 43,229,642.74/9,582.57
  6. Step 6: Final answer
    x = 4,511.28

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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.