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Finding the Fourth Proportional to 6,421.49, 9,632.24 and 4,202.20

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Solution

The fourth proportional to 6,421.49, 9,632.24 and 4,202.20 is: 6,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.49 : 9,632.24 = 4,202.20 : x
  2. Step 2: Convert to fraction form
    6,421.49/9,632.24 = 4,202.20/x
  3. Step 3: Cross multiply
    6,421.49x = 9,632.24 × 4,202.20
  4. Step 4: Simplify right side
    6,421.49x = 40,476,602.26
  5. Step 5: Solve for x
    x = 40,476,602.26/6,421.49
  6. Step 6: Final answer
    x = 6,303.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.