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Finding the Fourth Proportional to 6,637.16, 9,956.10 and 3,346.40

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Solution

The fourth proportional to 6,637.16, 9,956.10 and 3,346.40 is: 5,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.16 : 9,956.10 = 3,346.40 : x
  2. Step 2: Convert to fraction form
    6,637.16/9,956.10 = 3,346.40/x
  3. Step 3: Cross multiply
    6,637.16x = 9,956.10 × 3,346.40
  4. Step 4: Simplify right side
    6,637.16x = 33,317,093.04
  5. Step 5: Solve for x
    x = 33,317,093.04/6,637.16
  6. Step 6: Final answer
    x = 5,019.78

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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.