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Finding the Fourth Proportional to 7,394.69, 10,213.29 and 6,686.35

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Solution

The fourth proportional to 7,394.69, 10,213.29 and 6,686.35 is: 9,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.69 : 10,213.29 = 6,686.35 : x
  2. Step 2: Convert to fraction form
    7,394.69/10,213.29 = 6,686.35/x
  3. Step 3: Cross multiply
    7,394.69x = 10,213.29 × 6,686.35
  4. Step 4: Simplify right side
    7,394.69x = 68,289,606.06
  5. Step 5: Solve for x
    x = 68,289,606.06/7,394.69
  6. Step 6: Final answer
    x = 9,234.95

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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.