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Finding the Fourth Proportional to 9,510.96, 13,122.90 and 5,733.12

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Solution

The fourth proportional to 9,510.96, 13,122.90 and 5,733.12 is: 7,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.96 : 13,122.90 = 5,733.12 : x
  2. Step 2: Convert to fraction form
    9,510.96/13,122.90 = 5,733.12/x
  3. Step 3: Cross multiply
    9,510.96x = 13,122.90 × 5,733.12
  4. Step 4: Simplify right side
    9,510.96x = 75,235,160.45
  5. Step 5: Solve for x
    x = 75,235,160.45/9,510.96
  6. Step 6: Final answer
    x = 7,910.36

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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.