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Finding the Fourth Proportional to 6,857.34, 9,464.04 and 5,093.94

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Solution

The fourth proportional to 6,857.34, 9,464.04 and 5,093.94 is: 7,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.34 : 9,464.04 = 5,093.94 : x
  2. Step 2: Convert to fraction form
    6,857.34/9,464.04 = 5,093.94/x
  3. Step 3: Cross multiply
    6,857.34x = 9,464.04 × 5,093.94
  4. Step 4: Simplify right side
    6,857.34x = 48,209,251.92
  5. Step 5: Solve for x
    x = 48,209,251.92/6,857.34
  6. Step 6: Final answer
    x = 7,030.31

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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.