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Finding the Fourth Proportional to 9,399.84, 12,971.79 and 5,208

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Solution

The fourth proportional to 9,399.84, 12,971.79 and 5,208 is: 7,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.84 : 12,971.79 = 5,208 : x
  2. Step 2: Convert to fraction form
    9,399.84/12,971.79 = 5,208/x
  3. Step 3: Cross multiply
    9,399.84x = 12,971.79 × 5,208
  4. Step 4: Simplify right side
    9,399.84x = 67,557,082.32
  5. Step 5: Solve for x
    x = 67,557,082.32/9,399.84
  6. Step 6: Final answer
    x = 7,187.05

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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.