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Finding the Fourth Proportional to 6,685.34, 9,233.04 and 4,456.67

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Solution

The fourth proportional to 6,685.34, 9,233.04 and 4,456.67 is: 6,155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.34 : 9,233.04 = 4,456.67 : x
  2. Step 2: Convert to fraction form
    6,685.34/9,233.04 = 4,456.67/x
  3. Step 3: Cross multiply
    6,685.34x = 9,233.04 × 4,456.67
  4. Step 4: Simplify right side
    6,685.34x = 41,148,566.21
  5. Step 5: Solve for x
    x = 41,148,566.21/6,685.34
  6. Step 6: Final answer
    x = 6,155.05

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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.