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Finding the Fourth Proportional to 6,972.12, 10,444.68 and 6,617.88

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Solution

The fourth proportional to 6,972.12, 10,444.68 and 6,617.88 is: 9,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.12 : 10,444.68 = 6,617.88 : x
  2. Step 2: Convert to fraction form
    6,972.12/10,444.68 = 6,617.88/x
  3. Step 3: Cross multiply
    6,972.12x = 10,444.68 × 6,617.88
  4. Step 4: Simplify right side
    6,972.12x = 69,121,638.88
  5. Step 5: Solve for x
    x = 69,121,638.88/6,972.12
  6. Step 6: Final answer
    x = 9,914.01

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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.