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Finding the Fourth Proportional to 6,624, 9,935.97 and 5,164.23

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Solution

The fourth proportional to 6,624, 9,935.97 and 5,164.23 is: 7,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624 : 9,935.97 = 5,164.23 : x
  2. Step 2: Convert to fraction form
    6,624/9,935.97 = 5,164.23/x
  3. Step 3: Cross multiply
    6,624x = 9,935.97 × 5,164.23
  4. Step 4: Simplify right side
    6,624x = 51,311,634.35
  5. Step 5: Solve for x
    x = 51,311,634.35/6,624
  6. Step 6: Final answer
    x = 7,746.32

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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.