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Finding the Fourth Proportional to 9,668.80, 13,342.53 and 5,420.26

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Solution

The fourth proportional to 9,668.80, 13,342.53 and 5,420.26 is: 7,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.80 : 13,342.53 = 5,420.26 : x
  2. Step 2: Convert to fraction form
    9,668.80/13,342.53 = 5,420.26/x
  3. Step 3: Cross multiply
    9,668.80x = 13,342.53 × 5,420.26
  4. Step 4: Simplify right side
    9,668.80x = 72,319,981.66
  5. Step 5: Solve for x
    x = 72,319,981.66/9,668.80
  6. Step 6: Final answer
    x = 7,479.73

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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.