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Finding the Fourth Proportional to 10,622.25, 14,642.88 and 6,844.65

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Solution

The fourth proportional to 10,622.25, 14,642.88 and 6,844.65 is: 9,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.25 : 14,642.88 = 6,844.65 : x
  2. Step 2: Convert to fraction form
    10,622.25/14,642.88 = 6,844.65/x
  3. Step 3: Cross multiply
    10,622.25x = 14,642.88 × 6,844.65
  4. Step 4: Simplify right side
    10,622.25x = 100,225,388.59
  5. Step 5: Solve for x
    x = 100,225,388.59/10,622.25
  6. Step 6: Final answer
    x = 9,435.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.