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Finding the Fourth Proportional to 9,699.84, 14,550.08 and 2,680.38

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Solution

The fourth proportional to 9,699.84, 14,550.08 and 2,680.38 is: 4,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.84 : 14,550.08 = 2,680.38 : x
  2. Step 2: Convert to fraction form
    9,699.84/14,550.08 = 2,680.38/x
  3. Step 3: Cross multiply
    9,699.84x = 14,550.08 × 2,680.38
  4. Step 4: Simplify right side
    9,699.84x = 38,999,730.03
  5. Step 5: Solve for x
    x = 38,999,730.03/9,699.84
  6. Step 6: Final answer
    x = 4,020.66

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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.