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Finding the Fourth Proportional to 9,687.69, 14,533.65 and 3,844.17

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Solution

The fourth proportional to 9,687.69, 14,533.65 and 3,844.17 is: 5,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.69 : 14,533.65 = 3,844.17 : x
  2. Step 2: Convert to fraction form
    9,687.69/14,533.65 = 3,844.17/x
  3. Step 3: Cross multiply
    9,687.69x = 14,533.65 × 3,844.17
  4. Step 4: Simplify right side
    9,687.69x = 55,869,821.32
  5. Step 5: Solve for x
    x = 55,869,821.32/9,687.69
  6. Step 6: Final answer
    x = 5,767.09

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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.