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Finding the Fourth Proportional to 6,802.26, 9,389.46 and 4,288.60

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Solution

The fourth proportional to 6,802.26, 9,389.46 and 4,288.60 is: 5,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.26 : 9,389.46 = 4,288.60 : x
  2. Step 2: Convert to fraction form
    6,802.26/9,389.46 = 4,288.60/x
  3. Step 3: Cross multiply
    6,802.26x = 9,389.46 × 4,288.60
  4. Step 4: Simplify right side
    6,802.26x = 40,267,638.16
  5. Step 5: Solve for x
    x = 40,267,638.16/6,802.26
  6. Step 6: Final answer
    x = 5,919.74

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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.