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Finding the Fourth Proportional to 6,857.87, 9,466.47 and 4,499.96

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Solution

The fourth proportional to 6,857.87, 9,466.47 and 4,499.96 is: 6,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.87 : 9,466.47 = 4,499.96 : x
  2. Step 2: Convert to fraction form
    6,857.87/9,466.47 = 4,499.96/x
  3. Step 3: Cross multiply
    6,857.87x = 9,466.47 × 4,499.96
  4. Step 4: Simplify right side
    6,857.87x = 42,598,689.01
  5. Step 5: Solve for x
    x = 42,598,689.01/6,857.87
  6. Step 6: Final answer
    x = 6,211.65

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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.