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Finding the Fourth Proportional to 9,510.57, 13,124.67 and 5,733.93

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Solution

The fourth proportional to 9,510.57, 13,124.67 and 5,733.93 is: 7,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.57 : 13,124.67 = 5,733.93 : x
  2. Step 2: Convert to fraction form
    9,510.57/13,124.67 = 5,733.93/x
  3. Step 3: Cross multiply
    9,510.57x = 13,124.67 × 5,733.93
  4. Step 4: Simplify right side
    9,510.57x = 75,255,939.05
  5. Step 5: Solve for x
    x = 75,255,939.05/9,510.57
  6. Step 6: Final answer
    x = 7,912.87

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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.