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Finding the Fourth Proportional to 9,021.30, 13,540.39 and 4,582.14

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Solution

The fourth proportional to 9,021.30, 13,540.39 and 4,582.14 is: 6,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.30 : 13,540.39 = 4,582.14 : x
  2. Step 2: Convert to fraction form
    9,021.30/13,540.39 = 4,582.14/x
  3. Step 3: Cross multiply
    9,021.30x = 13,540.39 × 4,582.14
  4. Step 4: Simplify right side
    9,021.30x = 62,043,951.18
  5. Step 5: Solve for x
    x = 62,043,951.18/9,021.30
  6. Step 6: Final answer
    x = 6,877.50

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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.