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Finding the Fourth Proportional to 7,145.80, 9,861.56 and 4,313.13

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Solution

The fourth proportional to 7,145.80, 9,861.56 and 4,313.13 is: 5,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.80 : 9,861.56 = 4,313.13 : x
  2. Step 2: Convert to fraction form
    7,145.80/9,861.56 = 4,313.13/x
  3. Step 3: Cross multiply
    7,145.80x = 9,861.56 × 4,313.13
  4. Step 4: Simplify right side
    7,145.80x = 42,534,190.28
  5. Step 5: Solve for x
    x = 42,534,190.28/7,145.80
  6. Step 6: Final answer
    x = 5,952.33

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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.