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Finding the Fourth Proportional to 6,830.11, 9,421.99 and 4,311.32

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Solution

The fourth proportional to 6,830.11, 9,421.99 and 4,311.32 is: 5,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.11 : 9,421.99 = 4,311.32 : x
  2. Step 2: Convert to fraction form
    6,830.11/9,421.99 = 4,311.32/x
  3. Step 3: Cross multiply
    6,830.11x = 9,421.99 × 4,311.32
  4. Step 4: Simplify right side
    6,830.11x = 40,621,145.26
  5. Step 5: Solve for x
    x = 40,621,145.26/6,830.11
  6. Step 6: Final answer
    x = 5,947.36

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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.