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Finding the Fourth Proportional to 9,668.39, 13,342.65 and 5,476.64

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Solution

The fourth proportional to 9,668.39, 13,342.65 and 5,476.64 is: 7,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.39 : 13,342.65 = 5,476.64 : x
  2. Step 2: Convert to fraction form
    9,668.39/13,342.65 = 5,476.64/x
  3. Step 3: Cross multiply
    9,668.39x = 13,342.65 × 5,476.64
  4. Step 4: Simplify right side
    9,668.39x = 73,072,890.70
  5. Step 5: Solve for x
    x = 73,072,890.70/9,668.39
  6. Step 6: Final answer
    x = 7,557.92

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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.