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Finding the Fourth Proportional to 6,646.32, 9,964.20 and 4,561.20

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Solution

The fourth proportional to 6,646.32, 9,964.20 and 4,561.20 is: 6,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.32 : 9,964.20 = 4,561.20 : x
  2. Step 2: Convert to fraction form
    6,646.32/9,964.20 = 4,561.20/x
  3. Step 3: Cross multiply
    6,646.32x = 9,964.20 × 4,561.20
  4. Step 4: Simplify right side
    6,646.32x = 45,448,709.04
  5. Step 5: Solve for x
    x = 45,448,709.04/6,646.32
  6. Step 6: Final answer
    x = 6,838.18

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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.