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Finding the Fourth Proportional to 9,817.08, 13,549.56 and 6,042.12

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Solution

The fourth proportional to 9,817.08, 13,549.56 and 6,042.12 is: 8,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.08 : 13,549.56 = 6,042.12 : x
  2. Step 2: Convert to fraction form
    9,817.08/13,549.56 = 6,042.12/x
  3. Step 3: Cross multiply
    9,817.08x = 13,549.56 × 6,042.12
  4. Step 4: Simplify right side
    9,817.08x = 81,868,067.47
  5. Step 5: Solve for x
    x = 81,868,067.47/9,817.08
  6. Step 6: Final answer
    x = 8,339.35

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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.