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Finding the Fourth Proportional to 6,802.37, 9,386.52 and 3,817.52

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Solution

The fourth proportional to 6,802.37, 9,386.52 and 3,817.52 is: 5,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.37 : 9,386.52 = 3,817.52 : x
  2. Step 2: Convert to fraction form
    6,802.37/9,386.52 = 3,817.52/x
  3. Step 3: Cross multiply
    6,802.37x = 9,386.52 × 3,817.52
  4. Step 4: Simplify right side
    6,802.37x = 35,833,227.83
  5. Step 5: Solve for x
    x = 35,833,227.83/6,802.37
  6. Step 6: Final answer
    x = 5,267.76

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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.