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Finding the Fourth Proportional to 9,582.57, 14,375.21 and 4,032.45

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Solution

The fourth proportional to 9,582.57, 14,375.21 and 4,032.45 is: 6,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.57 : 14,375.21 = 4,032.45 : x
  2. Step 2: Convert to fraction form
    9,582.57/14,375.21 = 4,032.45/x
  3. Step 3: Cross multiply
    9,582.57x = 14,375.21 × 4,032.45
  4. Step 4: Simplify right side
    9,582.57x = 57,967,295.40
  5. Step 5: Solve for x
    x = 57,967,295.40/9,582.57
  6. Step 6: Final answer
    x = 6,049.24

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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.