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Finding the Fourth Proportional to 7,103.61, 9,802.77 and 3,873.31

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Solution

The fourth proportional to 7,103.61, 9,802.77 and 3,873.31 is: 5,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.61 : 9,802.77 = 3,873.31 : x
  2. Step 2: Convert to fraction form
    7,103.61/9,802.77 = 3,873.31/x
  3. Step 3: Cross multiply
    7,103.61x = 9,802.77 × 3,873.31
  4. Step 4: Simplify right side
    7,103.61x = 37,969,142.56
  5. Step 5: Solve for x
    x = 37,969,142.56/7,103.61
  6. Step 6: Final answer
    x = 5,345.05

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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.