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Finding the Fourth Proportional to 7,083.64, 9,777.07 and 4,101.22

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Solution

The fourth proportional to 7,083.64, 9,777.07 and 4,101.22 is: 5,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.64 : 9,777.07 = 4,101.22 : x
  2. Step 2: Convert to fraction form
    7,083.64/9,777.07 = 4,101.22/x
  3. Step 3: Cross multiply
    7,083.64x = 9,777.07 × 4,101.22
  4. Step 4: Simplify right side
    7,083.64x = 40,097,915.03
  5. Step 5: Solve for x
    x = 40,097,915.03/7,083.64
  6. Step 6: Final answer
    x = 5,660.64

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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.