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Finding the Fourth Proportional to 9,662.78, 14,475.18 and 5,490.30

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Solution

The fourth proportional to 9,662.78, 14,475.18 and 5,490.30 is: 8,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.78 : 14,475.18 = 5,490.30 : x
  2. Step 2: Convert to fraction form
    9,662.78/14,475.18 = 5,490.30/x
  3. Step 3: Cross multiply
    9,662.78x = 14,475.18 × 5,490.30
  4. Step 4: Simplify right side
    9,662.78x = 79,473,080.75
  5. Step 5: Solve for x
    x = 79,473,080.75/9,662.78
  6. Step 6: Final answer
    x = 8,224.66

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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.