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Finding the Fourth Proportional to 9,296.14, 12,836.98 and 6,934.18

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Solution

The fourth proportional to 9,296.14, 12,836.98 and 6,934.18 is: 9,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.14 : 12,836.98 = 6,934.18 : x
  2. Step 2: Convert to fraction form
    9,296.14/12,836.98 = 6,934.18/x
  3. Step 3: Cross multiply
    9,296.14x = 12,836.98 × 6,934.18
  4. Step 4: Simplify right side
    9,296.14x = 89,013,929.98
  5. Step 5: Solve for x
    x = 89,013,929.98/9,296.14
  6. Step 6: Final answer
    x = 9,575.36

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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.