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Finding the Fourth Proportional to 6,309.50, 9,419.87 and 4,820.91

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Solution

The fourth proportional to 6,309.50, 9,419.87 and 4,820.91 is: 7,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.50 : 9,419.87 = 4,820.91 : x
  2. Step 2: Convert to fraction form
    6,309.50/9,419.87 = 4,820.91/x
  3. Step 3: Cross multiply
    6,309.50x = 9,419.87 × 4,820.91
  4. Step 4: Simplify right side
    6,309.50x = 45,412,321.38
  5. Step 5: Solve for x
    x = 45,412,321.38/6,309.50
  6. Step 6: Final answer
    x = 7,197.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.