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Finding the Fourth Proportional to 10,962.78, 16,422.30 and 9,322.80

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Solution

The fourth proportional to 10,962.78, 16,422.30 and 9,322.80 is: 13,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.78 : 16,422.30 = 9,322.80 : x
  2. Step 2: Convert to fraction form
    10,962.78/16,422.30 = 9,322.80/x
  3. Step 3: Cross multiply
    10,962.78x = 16,422.30 × 9,322.80
  4. Step 4: Simplify right side
    10,962.78x = 153,101,818.44
  5. Step 5: Solve for x
    x = 153,101,818.44/10,962.78
  6. Step 6: Final answer
    x = 13,965.60

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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.