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Finding the Fourth Proportional to 6,446.68, 9,681.52 and 5,278.91

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Solution

The fourth proportional to 6,446.68, 9,681.52 and 5,278.91 is: 7,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.68 : 9,681.52 = 5,278.91 : x
  2. Step 2: Convert to fraction form
    6,446.68/9,681.52 = 5,278.91/x
  3. Step 3: Cross multiply
    6,446.68x = 9,681.52 × 5,278.91
  4. Step 4: Simplify right side
    6,446.68x = 51,107,875.49
  5. Step 5: Solve for x
    x = 51,107,875.49/6,446.68
  6. Step 6: Final answer
    x = 7,927.79

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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.