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Finding the Fourth Proportional to 6,289.65, 9,430.61 and 2,129.27

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Solution

The fourth proportional to 6,289.65, 9,430.61 and 2,129.27 is: 3,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.65 : 9,430.61 = 2,129.27 : x
  2. Step 2: Convert to fraction form
    6,289.65/9,430.61 = 2,129.27/x
  3. Step 3: Cross multiply
    6,289.65x = 9,430.61 × 2,129.27
  4. Step 4: Simplify right side
    6,289.65x = 20,080,257.16
  5. Step 5: Solve for x
    x = 20,080,257.16/6,289.65
  6. Step 6: Final answer
    x = 3,192.59

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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.