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Finding the Fourth Proportional to 9,668.48, 13,340.80 and 5,636.16

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Solution

The fourth proportional to 9,668.48, 13,340.80 and 5,636.16 is: 7,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.48 : 13,340.80 = 5,636.16 : x
  2. Step 2: Convert to fraction form
    9,668.48/13,340.80 = 5,636.16/x
  3. Step 3: Cross multiply
    9,668.48x = 13,340.80 × 5,636.16
  4. Step 4: Simplify right side
    9,668.48x = 75,190,883.33
  5. Step 5: Solve for x
    x = 75,190,883.33/9,668.48
  6. Step 6: Final answer
    x = 7,776.91

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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.