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Finding the Fourth Proportional to 6,964.72, 10,444.01 and 3,263.96

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Solution

The fourth proportional to 6,964.72, 10,444.01 and 3,263.96 is: 4,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.72 : 10,444.01 = 3,263.96 : x
  2. Step 2: Convert to fraction form
    6,964.72/10,444.01 = 3,263.96/x
  3. Step 3: Cross multiply
    6,964.72x = 10,444.01 × 3,263.96
  4. Step 4: Simplify right side
    6,964.72x = 34,088,840.67
  5. Step 5: Solve for x
    x = 34,088,840.67/6,964.72
  6. Step 6: Final answer
    x = 4,894.50

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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.