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Finding the Fourth Proportional to 9,424.92, 12,994.38 and 5,886.84

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Solution

The fourth proportional to 9,424.92, 12,994.38 and 5,886.84 is: 8,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.92 : 12,994.38 = 5,886.84 : x
  2. Step 2: Convert to fraction form
    9,424.92/12,994.38 = 5,886.84/x
  3. Step 3: Cross multiply
    9,424.92x = 12,994.38 × 5,886.84
  4. Step 4: Simplify right side
    9,424.92x = 76,495,835.96
  5. Step 5: Solve for x
    x = 76,495,835.96/9,424.92
  6. Step 6: Final answer
    x = 8,116.34

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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.