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Finding the Fourth Proportional to 9,419.20, 14,135.82 and 3,587.20

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Solution

The fourth proportional to 9,419.20, 14,135.82 and 3,587.20 is: 5,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.20 : 14,135.82 = 3,587.20 : x
  2. Step 2: Convert to fraction form
    9,419.20/14,135.82 = 3,587.20/x
  3. Step 3: Cross multiply
    9,419.20x = 14,135.82 × 3,587.20
  4. Step 4: Simplify right side
    9,419.20x = 50,708,013.50
  5. Step 5: Solve for x
    x = 50,708,013.50/9,419.20
  6. Step 6: Final answer
    x = 5,383.47

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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.