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Finding the Fourth Proportional to 9,961.52, 13,746.66 and 5,769.50

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Solution

The fourth proportional to 9,961.52, 13,746.66 and 5,769.50 is: 7,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.52 : 13,746.66 = 5,769.50 : x
  2. Step 2: Convert to fraction form
    9,961.52/13,746.66 = 5,769.50/x
  3. Step 3: Cross multiply
    9,961.52x = 13,746.66 × 5,769.50
  4. Step 4: Simplify right side
    9,961.52x = 79,311,354.87
  5. Step 5: Solve for x
    x = 79,311,354.87/9,961.52
  6. Step 6: Final answer
    x = 7,961.77

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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.