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Finding the Fourth Proportional to 6,890.83, 9,509.14 and 4,057.56

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Solution

The fourth proportional to 6,890.83, 9,509.14 and 4,057.56 is: 5,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.83 : 9,509.14 = 4,057.56 : x
  2. Step 2: Convert to fraction form
    6,890.83/9,509.14 = 4,057.56/x
  3. Step 3: Cross multiply
    6,890.83x = 9,509.14 × 4,057.56
  4. Step 4: Simplify right side
    6,890.83x = 38,583,906.10
  5. Step 5: Solve for x
    x = 38,583,906.10/6,890.83
  6. Step 6: Final answer
    x = 5,599.31

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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.