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Finding the Fourth Proportional to 7,065.90, 9,749.70 and 5,943.96

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Solution

The fourth proportional to 7,065.90, 9,749.70 and 5,943.96 is: 8,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.90 : 9,749.70 = 5,943.96 : x
  2. Step 2: Convert to fraction form
    7,065.90/9,749.70 = 5,943.96/x
  3. Step 3: Cross multiply
    7,065.90x = 9,749.70 × 5,943.96
  4. Step 4: Simplify right side
    7,065.90x = 57,951,826.81
  5. Step 5: Solve for x
    x = 57,951,826.81/7,065.90
  6. Step 6: Final answer
    x = 8,201.62

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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.