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Finding the Fourth Proportional to 7,145.56, 9,861.42 and 4,495.24

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Solution

The fourth proportional to 7,145.56, 9,861.42 and 4,495.24 is: 6,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.56 : 9,861.42 = 4,495.24 : x
  2. Step 2: Convert to fraction form
    7,145.56/9,861.42 = 4,495.24/x
  3. Step 3: Cross multiply
    7,145.56x = 9,861.42 × 4,495.24
  4. Step 4: Simplify right side
    7,145.56x = 44,329,449.64
  5. Step 5: Solve for x
    x = 44,329,449.64/7,145.56
  6. Step 6: Final answer
    x = 6,203.78

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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.