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Finding the Fourth Proportional to 6,782.13, 9,352.76 and 5,289.50

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Solution

The fourth proportional to 6,782.13, 9,352.76 and 5,289.50 is: 7,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.13 : 9,352.76 = 5,289.50 : x
  2. Step 2: Convert to fraction form
    6,782.13/9,352.76 = 5,289.50/x
  3. Step 3: Cross multiply
    6,782.13x = 9,352.76 × 5,289.50
  4. Step 4: Simplify right side
    6,782.13x = 49,471,350.81
  5. Step 5: Solve for x
    x = 49,471,350.81/6,782.13
  6. Step 6: Final answer
    x = 7,294.37

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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.