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Finding the Fourth Proportional to 9,961.98, 13,746.96 and 5,484.99

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Solution

The fourth proportional to 9,961.98, 13,746.96 and 5,484.99 is: 7,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.98 : 13,746.96 = 5,484.99 : x
  2. Step 2: Convert to fraction form
    9,961.98/13,746.96 = 5,484.99/x
  3. Step 3: Cross multiply
    9,961.98x = 13,746.96 × 5,484.99
  4. Step 4: Simplify right side
    9,961.98x = 75,401,938.13
  5. Step 5: Solve for x
    x = 75,401,938.13/9,961.98
  6. Step 6: Final answer
    x = 7,568.97

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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.