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Finding the Fourth Proportional to 9,447.98, 13,042.42 and 6,930.06

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Solution

The fourth proportional to 9,447.98, 13,042.42 and 6,930.06 is: 9,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.98 : 13,042.42 = 6,930.06 : x
  2. Step 2: Convert to fraction form
    9,447.98/13,042.42 = 6,930.06/x
  3. Step 3: Cross multiply
    9,447.98x = 13,042.42 × 6,930.06
  4. Step 4: Simplify right side
    9,447.98x = 90,384,753.15
  5. Step 5: Solve for x
    x = 90,384,753.15/9,447.98
  6. Step 6: Final answer
    x = 9,566.57

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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.