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Finding the Fourth Proportional to 6,342.46, 9,516.42 and 3,417.34

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Solution

The fourth proportional to 6,342.46, 9,516.42 and 3,417.34 is: 5,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.46 : 9,516.42 = 3,417.34 : x
  2. Step 2: Convert to fraction form
    6,342.46/9,516.42 = 3,417.34/x
  3. Step 3: Cross multiply
    6,342.46x = 9,516.42 × 3,417.34
  4. Step 4: Simplify right side
    6,342.46x = 32,520,842.72
  5. Step 5: Solve for x
    x = 32,520,842.72/6,342.46
  6. Step 6: Final answer
    x = 5,127.48

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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.