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Finding the Fourth Proportional to 6,419.22, 9,644.39 and 6,065.20

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Solution

The fourth proportional to 6,419.22, 9,644.39 and 6,065.20 is: 9,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.22 : 9,644.39 = 6,065.20 : x
  2. Step 2: Convert to fraction form
    6,419.22/9,644.39 = 6,065.20/x
  3. Step 3: Cross multiply
    6,419.22x = 9,644.39 × 6,065.20
  4. Step 4: Simplify right side
    6,419.22x = 58,495,154.23
  5. Step 5: Solve for x
    x = 58,495,154.23/6,419.22
  6. Step 6: Final answer
    x = 9,112.50

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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.