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Finding the Fourth Proportional to 9,398.04, 13,006.62 and 8,076.12

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Solution

The fourth proportional to 9,398.04, 13,006.62 and 8,076.12 is: 11,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.04 : 13,006.62 = 8,076.12 : x
  2. Step 2: Convert to fraction form
    9,398.04/13,006.62 = 8,076.12/x
  3. Step 3: Cross multiply
    9,398.04x = 13,006.62 × 8,076.12
  4. Step 4: Simplify right side
    9,398.04x = 105,043,023.91
  5. Step 5: Solve for x
    x = 105,043,023.91/9,398.04
  6. Step 6: Final answer
    x = 11,177.12

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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.