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Finding the Fourth Proportional to 9,616.68, 13,271.40 and 5,424.84

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Solution

The fourth proportional to 9,616.68, 13,271.40 and 5,424.84 is: 7,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.68 : 13,271.40 = 5,424.84 : x
  2. Step 2: Convert to fraction form
    9,616.68/13,271.40 = 5,424.84/x
  3. Step 3: Cross multiply
    9,616.68x = 13,271.40 × 5,424.84
  4. Step 4: Simplify right side
    9,616.68x = 71,995,221.58
  5. Step 5: Solve for x
    x = 71,995,221.58/9,616.68
  6. Step 6: Final answer
    x = 7,486.49

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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.