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Finding the Fourth Proportional to 9,952.68, 13,734.61 and 5,476.62

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Solution

The fourth proportional to 9,952.68, 13,734.61 and 5,476.62 is: 7,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.68 : 13,734.61 = 5,476.62 : x
  2. Step 2: Convert to fraction form
    9,952.68/13,734.61 = 5,476.62/x
  3. Step 3: Cross multiply
    9,952.68x = 13,734.61 × 5,476.62
  4. Step 4: Simplify right side
    9,952.68x = 75,219,239.82
  5. Step 5: Solve for x
    x = 75,219,239.82/9,952.68
  6. Step 6: Final answer
    x = 7,557.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.