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Finding the Fourth Proportional to 6,802.26, 9,392.40 and 5,909.10

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Solution

The fourth proportional to 6,802.26, 9,392.40 and 5,909.10 is: 8,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.26 : 9,392.40 = 5,909.10 : x
  2. Step 2: Convert to fraction form
    6,802.26/9,392.40 = 5,909.10/x
  3. Step 3: Cross multiply
    6,802.26x = 9,392.40 × 5,909.10
  4. Step 4: Simplify right side
    6,802.26x = 55,500,630.84
  5. Step 5: Solve for x
    x = 55,500,630.84/6,802.26
  6. Step 6: Final answer
    x = 8,159.15

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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.