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Finding the Fourth Proportional to 6,561.34, 9,843.47 and 2,401.25

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Solution

The fourth proportional to 6,561.34, 9,843.47 and 2,401.25 is: 3,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.34 : 9,843.47 = 2,401.25 : x
  2. Step 2: Convert to fraction form
    6,561.34/9,843.47 = 2,401.25/x
  3. Step 3: Cross multiply
    6,561.34x = 9,843.47 × 2,401.25
  4. Step 4: Simplify right side
    6,561.34x = 23,636,656.42
  5. Step 5: Solve for x
    x = 23,636,656.42/6,561.34
  6. Step 6: Final answer
    x = 3,602.41

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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.