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Finding the Fourth Proportional to 9,643.68, 14,455.66 and 5,474.88

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Solution

The fourth proportional to 9,643.68, 14,455.66 and 5,474.88 is: 8,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.68 : 14,455.66 = 5,474.88 : x
  2. Step 2: Convert to fraction form
    9,643.68/14,455.66 = 5,474.88/x
  3. Step 3: Cross multiply
    9,643.68x = 14,455.66 × 5,474.88
  4. Step 4: Simplify right side
    9,643.68x = 79,143,003.82
  5. Step 5: Solve for x
    x = 79,143,003.82/9,643.68
  6. Step 6: Final answer
    x = 8,206.72

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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.