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Finding the Fourth Proportional to 6,857.30, 9,453.16 and 4,495.34

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Solution

The fourth proportional to 6,857.30, 9,453.16 and 4,495.34 is: 6,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.30 : 9,453.16 = 4,495.34 : x
  2. Step 2: Convert to fraction form
    6,857.30/9,453.16 = 4,495.34/x
  3. Step 3: Cross multiply
    6,857.30x = 9,453.16 × 4,495.34
  4. Step 4: Simplify right side
    6,857.30x = 42,495,168.27
  5. Step 5: Solve for x
    x = 42,495,168.27/6,857.30
  6. Step 6: Final answer
    x = 6,197.07

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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.