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Finding the Fourth Proportional to 9,394.62, 14,098.76 and 7,567.79

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Solution

The fourth proportional to 9,394.62, 14,098.76 and 7,567.79 is: 11,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.62 : 14,098.76 = 7,567.79 : x
  2. Step 2: Convert to fraction form
    9,394.62/14,098.76 = 7,567.79/x
  3. Step 3: Cross multiply
    9,394.62x = 14,098.76 × 7,567.79
  4. Step 4: Simplify right side
    9,394.62x = 106,696,414.64
  5. Step 5: Solve for x
    x = 106,696,414.64/9,394.62
  6. Step 6: Final answer
    x = 11,357.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.