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Finding the Fourth Proportional to 9,668.54, 13,346.30 and 5,689.82

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Solution

The fourth proportional to 9,668.54, 13,346.30 and 5,689.82 is: 7,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.54 : 13,346.30 = 5,689.82 : x
  2. Step 2: Convert to fraction form
    9,668.54/13,346.30 = 5,689.82/x
  3. Step 3: Cross multiply
    9,668.54x = 13,346.30 × 5,689.82
  4. Step 4: Simplify right side
    9,668.54x = 75,938,044.67
  5. Step 5: Solve for x
    x = 75,938,044.67/9,668.54
  6. Step 6: Final answer
    x = 7,854.14

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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.