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Finding the Fourth Proportional to 9,769.96, 13,484.58 and 8,982.76

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Solution

The fourth proportional to 9,769.96, 13,484.58 and 8,982.76 is: 12,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.96 : 13,484.58 = 8,982.76 : x
  2. Step 2: Convert to fraction form
    9,769.96/13,484.58 = 8,982.76/x
  3. Step 3: Cross multiply
    9,769.96x = 13,484.58 × 8,982.76
  4. Step 4: Simplify right side
    9,769.96x = 121,128,745.84
  5. Step 5: Solve for x
    x = 121,128,745.84/9,769.96
  6. Step 6: Final answer
    x = 12,398.08

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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.