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Finding the Fourth Proportional to 6,507.21, 9,753.41 and 2,756.66

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Solution

The fourth proportional to 6,507.21, 9,753.41 and 2,756.66 is: 4,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.21 : 9,753.41 = 2,756.66 : x
  2. Step 2: Convert to fraction form
    6,507.21/9,753.41 = 2,756.66/x
  3. Step 3: Cross multiply
    6,507.21x = 9,753.41 × 2,756.66
  4. Step 4: Simplify right side
    6,507.21x = 26,886,793.34
  5. Step 5: Solve for x
    x = 26,886,793.34/6,507.21
  6. Step 6: Final answer
    x = 4,131.84

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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.