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Finding the Fourth Proportional to 9,961.50, 13,746.87 and 5,545.50

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Solution

The fourth proportional to 9,961.50, 13,746.87 and 5,545.50 is: 7,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.50 : 13,746.87 = 5,545.50 : x
  2. Step 2: Convert to fraction form
    9,961.50/13,746.87 = 5,545.50/x
  3. Step 3: Cross multiply
    9,961.50x = 13,746.87 × 5,545.50
  4. Step 4: Simplify right side
    9,961.50x = 76,233,267.59
  5. Step 5: Solve for x
    x = 76,233,267.59/9,961.50
  6. Step 6: Final answer
    x = 7,652.79

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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.