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Finding the Fourth Proportional to 6,873.12, 9,460.94 and 5,931.90

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Solution

The fourth proportional to 6,873.12, 9,460.94 and 5,931.90 is: 8,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.12 : 9,460.94 = 5,931.90 : x
  2. Step 2: Convert to fraction form
    6,873.12/9,460.94 = 5,931.90/x
  3. Step 3: Cross multiply
    6,873.12x = 9,460.94 × 5,931.90
  4. Step 4: Simplify right side
    6,873.12x = 56,121,320.33
  5. Step 5: Solve for x
    x = 56,121,320.33/6,873.12
  6. Step 6: Final answer
    x = 8,165.33

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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.