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Finding the Fourth Proportional to 6,626.30, 9,924.32 and 3,165.98

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Solution

The fourth proportional to 6,626.30, 9,924.32 and 3,165.98 is: 4,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.30 : 9,924.32 = 3,165.98 : x
  2. Step 2: Convert to fraction form
    6,626.30/9,924.32 = 3,165.98/x
  3. Step 3: Cross multiply
    6,626.30x = 9,924.32 × 3,165.98
  4. Step 4: Simplify right side
    6,626.30x = 31,420,156.93
  5. Step 5: Solve for x
    x = 31,420,156.93/6,626.30
  6. Step 6: Final answer
    x = 4,741.74

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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.