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Finding the Fourth Proportional to 9,816.80, 14,724.84 and 2,421.20

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Solution

The fourth proportional to 9,816.80, 14,724.84 and 2,421.20 is: 3,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.80 : 14,724.84 = 2,421.20 : x
  2. Step 2: Convert to fraction form
    9,816.80/14,724.84 = 2,421.20/x
  3. Step 3: Cross multiply
    9,816.80x = 14,724.84 × 2,421.20
  4. Step 4: Simplify right side
    9,816.80x = 35,651,782.61
  5. Step 5: Solve for x
    x = 35,651,782.61/9,816.80
  6. Step 6: Final answer
    x = 3,631.71

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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.