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Finding the Fourth Proportional to 6,229.34, 9,345.56 and 5,131.40

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Solution

The fourth proportional to 6,229.34, 9,345.56 and 5,131.40 is: 7,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.34 : 9,345.56 = 5,131.40 : x
  2. Step 2: Convert to fraction form
    6,229.34/9,345.56 = 5,131.40/x
  3. Step 3: Cross multiply
    6,229.34x = 9,345.56 × 5,131.40
  4. Step 4: Simplify right side
    6,229.34x = 47,955,804.29
  5. Step 5: Solve for x
    x = 47,955,804.29/6,229.34
  6. Step 6: Final answer
    x = 7,698.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.