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Finding the Fourth Proportional to 6,686.23, 9,224.60 and 4,032.67

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Solution

The fourth proportional to 6,686.23, 9,224.60 and 4,032.67 is: 5,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.23 : 9,224.60 = 4,032.67 : x
  2. Step 2: Convert to fraction form
    6,686.23/9,224.60 = 4,032.67/x
  3. Step 3: Cross multiply
    6,686.23x = 9,224.60 × 4,032.67
  4. Step 4: Simplify right side
    6,686.23x = 37,199,767.68
  5. Step 5: Solve for x
    x = 37,199,767.68/6,686.23
  6. Step 6: Final answer
    x = 5,563.64

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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.