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Finding the Fourth Proportional to 9,742.80, 14,616.48 and 2,817.12

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Solution

The fourth proportional to 9,742.80, 14,616.48 and 2,817.12 is: 4,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.80 : 14,616.48 = 2,817.12 : x
  2. Step 2: Convert to fraction form
    9,742.80/14,616.48 = 2,817.12/x
  3. Step 3: Cross multiply
    9,742.80x = 14,616.48 × 2,817.12
  4. Step 4: Simplify right side
    9,742.80x = 41,176,378.14
  5. Step 5: Solve for x
    x = 41,176,378.14/9,742.80
  6. Step 6: Final answer
    x = 4,226.34

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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.