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Finding the Fourth Proportional to 9,398.08, 12,968.76 and 5,206

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Solution

The fourth proportional to 9,398.08, 12,968.76 and 5,206 is: 7,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.08 : 12,968.76 = 5,206 : x
  2. Step 2: Convert to fraction form
    9,398.08/12,968.76 = 5,206/x
  3. Step 3: Cross multiply
    9,398.08x = 12,968.76 × 5,206
  4. Step 4: Simplify right side
    9,398.08x = 67,515,364.56
  5. Step 5: Solve for x
    x = 67,515,364.56/9,398.08
  6. Step 6: Final answer
    x = 7,183.95

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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.