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Finding the Fourth Proportional to 6,401.86, 9,607.12 and 2,241.91

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Solution

The fourth proportional to 6,401.86, 9,607.12 and 2,241.91 is: 3,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.86 : 9,607.12 = 2,241.91 : x
  2. Step 2: Convert to fraction form
    6,401.86/9,607.12 = 2,241.91/x
  3. Step 3: Cross multiply
    6,401.86x = 9,607.12 × 2,241.91
  4. Step 4: Simplify right side
    6,401.86x = 21,538,298.40
  5. Step 5: Solve for x
    x = 21,538,298.40/6,401.86
  6. Step 6: Final answer
    x = 3,364.38

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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.