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Finding the Fourth Proportional to 9,448.58, 14,141.99 and 6,949.10

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Solution

The fourth proportional to 9,448.58, 14,141.99 and 6,949.10 is: 10,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.58 : 14,141.99 = 6,949.10 : x
  2. Step 2: Convert to fraction form
    9,448.58/14,141.99 = 6,949.10/x
  3. Step 3: Cross multiply
    9,448.58x = 14,141.99 × 6,949.10
  4. Step 4: Simplify right side
    9,448.58x = 98,273,997.25
  5. Step 5: Solve for x
    x = 98,273,997.25/9,448.58
  6. Step 6: Final answer
    x = 10,400.92

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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.