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Finding the Fourth Proportional to 9,322.92, 13,984.35 and 6,392.34

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Solution

The fourth proportional to 9,322.92, 13,984.35 and 6,392.34 is: 9,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.92 : 13,984.35 = 6,392.34 : x
  2. Step 2: Convert to fraction form
    9,322.92/13,984.35 = 6,392.34/x
  3. Step 3: Cross multiply
    9,322.92x = 13,984.35 × 6,392.34
  4. Step 4: Simplify right side
    9,322.92x = 89,392,719.88
  5. Step 5: Solve for x
    x = 89,392,719.88/9,322.92
  6. Step 6: Final answer
    x = 9,588.49

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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.