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Finding the Fourth Proportional to 9,328.92, 12,876.48 and 6,349.74

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Solution

The fourth proportional to 9,328.92, 12,876.48 and 6,349.74 is: 8,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.92 : 12,876.48 = 6,349.74 : x
  2. Step 2: Convert to fraction form
    9,328.92/12,876.48 = 6,349.74/x
  3. Step 3: Cross multiply
    9,328.92x = 12,876.48 × 6,349.74
  4. Step 4: Simplify right side
    9,328.92x = 81,762,300.12
  5. Step 5: Solve for x
    x = 81,762,300.12/9,328.92
  6. Step 6: Final answer
    x = 8,764.39

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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.