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Finding the Fourth Proportional to 6,802.32, 9,387.56 and 3,818

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Solution

The fourth proportional to 6,802.32, 9,387.56 and 3,818 is: 5,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.32 : 9,387.56 = 3,818 : x
  2. Step 2: Convert to fraction form
    6,802.32/9,387.56 = 3,818/x
  3. Step 3: Cross multiply
    6,802.32x = 9,387.56 × 3,818
  4. Step 4: Simplify right side
    6,802.32x = 35,841,704.08
  5. Step 5: Solve for x
    x = 35,841,704.08/6,802.32
  6. Step 6: Final answer
    x = 5,269.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.