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Finding the Fourth Proportional to 6,596.77, 9,871.34 and 5,683.24

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Solution

The fourth proportional to 6,596.77, 9,871.34 and 5,683.24 is: 8,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.77 : 9,871.34 = 5,683.24 : x
  2. Step 2: Convert to fraction form
    6,596.77/9,871.34 = 5,683.24/x
  3. Step 3: Cross multiply
    6,596.77x = 9,871.34 × 5,683.24
  4. Step 4: Simplify right side
    6,596.77x = 56,101,198.45
  5. Step 5: Solve for x
    x = 56,101,198.45/6,596.77
  6. Step 6: Final answer
    x = 8,504.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.