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Finding the Fourth Proportional to 9,875.43, 13,628.10 and 5,399.22

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Solution

The fourth proportional to 9,875.43, 13,628.10 and 5,399.22 is: 7,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.43 : 13,628.10 = 5,399.22 : x
  2. Step 2: Convert to fraction form
    9,875.43/13,628.10 = 5,399.22/x
  3. Step 3: Cross multiply
    9,875.43x = 13,628.10 × 5,399.22
  4. Step 4: Simplify right side
    9,875.43x = 73,581,170.86
  5. Step 5: Solve for x
    x = 73,581,170.86/9,875.43
  6. Step 6: Final answer
    x = 7,450.93

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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.