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Finding the Fourth Proportional to 6,643.22, 9,962.40 and 2,259.50

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Solution

The fourth proportional to 6,643.22, 9,962.40 and 2,259.50 is: 3,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.22 : 9,962.40 = 2,259.50 : x
  2. Step 2: Convert to fraction form
    6,643.22/9,962.40 = 2,259.50/x
  3. Step 3: Cross multiply
    6,643.22x = 9,962.40 × 2,259.50
  4. Step 4: Simplify right side
    6,643.22x = 22,510,042.80
  5. Step 5: Solve for x
    x = 22,510,042.80/6,643.22
  6. Step 6: Final answer
    x = 3,388.42

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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.