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Finding the Fourth Proportional to 9,696.48, 14,545.46 and 3,122.86

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Solution

The fourth proportional to 9,696.48, 14,545.46 and 3,122.86 is: 4,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.48 : 14,545.46 = 3,122.86 : x
  2. Step 2: Convert to fraction form
    9,696.48/14,545.46 = 3,122.86/x
  3. Step 3: Cross multiply
    9,696.48x = 14,545.46 × 3,122.86
  4. Step 4: Simplify right side
    9,696.48x = 45,423,435.22
  5. Step 5: Solve for x
    x = 45,423,435.22/9,696.48
  6. Step 6: Final answer
    x = 4,684.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.