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Finding the Fourth Proportional to 7,101.36, 9,777.36 and 6,036.96

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Solution

The fourth proportional to 7,101.36, 9,777.36 and 6,036.96 is: 8,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.36 : 9,777.36 = 6,036.96 : x
  2. Step 2: Convert to fraction form
    7,101.36/9,777.36 = 6,036.96/x
  3. Step 3: Cross multiply
    7,101.36x = 9,777.36 × 6,036.96
  4. Step 4: Simplify right side
    7,101.36x = 59,025,531.23
  5. Step 5: Solve for x
    x = 59,025,531.23/7,101.36
  6. Step 6: Final answer
    x = 8,311.86

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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.