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Finding the Fourth Proportional to 6,506.32, 9,760.50 and 2,122.77

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Solution

The fourth proportional to 6,506.32, 9,760.50 and 2,122.77 is: 3,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.32 : 9,760.50 = 2,122.77 : x
  2. Step 2: Convert to fraction form
    6,506.32/9,760.50 = 2,122.77/x
  3. Step 3: Cross multiply
    6,506.32x = 9,760.50 × 2,122.77
  4. Step 4: Simplify right side
    6,506.32x = 20,719,296.59
  5. Step 5: Solve for x
    x = 20,719,296.59/6,506.32
  6. Step 6: Final answer
    x = 3,184.49

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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.