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Finding the Fourth Proportional to 9,508.44, 13,117.23 and 6,152.34

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Solution

The fourth proportional to 9,508.44, 13,117.23 and 6,152.34 is: 8,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.44 : 13,117.23 = 6,152.34 : x
  2. Step 2: Convert to fraction form
    9,508.44/13,117.23 = 6,152.34/x
  3. Step 3: Cross multiply
    9,508.44x = 13,117.23 × 6,152.34
  4. Step 4: Simplify right side
    9,508.44x = 80,701,719.84
  5. Step 5: Solve for x
    x = 80,701,719.84/9,508.44
  6. Step 6: Final answer
    x = 8,487.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.