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Finding the Fourth Proportional to 9,793.72, 13,492.52 and 8,014.96

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Solution

The fourth proportional to 9,793.72, 13,492.52 and 8,014.96 is: 11,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.72 : 13,492.52 = 8,014.96 : x
  2. Step 2: Convert to fraction form
    9,793.72/13,492.52 = 8,014.96/x
  3. Step 3: Cross multiply
    9,793.72x = 13,492.52 × 8,014.96
  4. Step 4: Simplify right side
    9,793.72x = 108,142,008.10
  5. Step 5: Solve for x
    x = 108,142,008.10/9,793.72
  6. Step 6: Final answer
    x = 11,041.97

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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.