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Finding the Fourth Proportional to 9,472.92, 13,056.30 and 7,110.96

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Solution

The fourth proportional to 9,472.92, 13,056.30 and 7,110.96 is: 9,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.92 : 13,056.30 = 7,110.96 : x
  2. Step 2: Convert to fraction form
    9,472.92/13,056.30 = 7,110.96/x
  3. Step 3: Cross multiply
    9,472.92x = 13,056.30 × 7,110.96
  4. Step 4: Simplify right side
    9,472.92x = 92,842,827.05
  5. Step 5: Solve for x
    x = 92,842,827.05/9,472.92
  6. Step 6: Final answer
    x = 9,800.87

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