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Finding the Fourth Proportional to 9,663.42, 14,482.99 and 5,220.91

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Solution

The fourth proportional to 9,663.42, 14,482.99 and 5,220.91 is: 7,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.42 : 14,482.99 = 5,220.91 : x
  2. Step 2: Convert to fraction form
    9,663.42/14,482.99 = 5,220.91/x
  3. Step 3: Cross multiply
    9,663.42x = 14,482.99 × 5,220.91
  4. Step 4: Simplify right side
    9,663.42x = 75,614,288.80
  5. Step 5: Solve for x
    x = 75,614,288.80/9,663.42
  6. Step 6: Final answer
    x = 7,824.80

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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.