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Finding the Fourth Proportional to 6,790.37, 9,370.79 and 4,138.02

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Solution

The fourth proportional to 6,790.37, 9,370.79 and 4,138.02 is: 5,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.37 : 9,370.79 = 4,138.02 : x
  2. Step 2: Convert to fraction form
    6,790.37/9,370.79 = 4,138.02/x
  3. Step 3: Cross multiply
    6,790.37x = 9,370.79 × 4,138.02
  4. Step 4: Simplify right side
    6,790.37x = 38,776,511.26
  5. Step 5: Solve for x
    x = 38,776,511.26/6,790.37
  6. Step 6: Final answer
    x = 5,710.52

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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.