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Finding the Fourth Proportional to 6,401.01, 9,597.42 and 4,421.10

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Solution

The fourth proportional to 6,401.01, 9,597.42 and 4,421.10 is: 6,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.01 : 9,597.42 = 4,421.10 : x
  2. Step 2: Convert to fraction form
    6,401.01/9,597.42 = 4,421.10/x
  3. Step 3: Cross multiply
    6,401.01x = 9,597.42 × 4,421.10
  4. Step 4: Simplify right side
    6,401.01x = 42,431,153.56
  5. Step 5: Solve for x
    x = 42,431,153.56/6,401.01
  6. Step 6: Final answer
    x = 6,628.82

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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.