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Finding the Fourth Proportional to 9,516.70, 14,280.45 and 3,673.66

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Solution

The fourth proportional to 9,516.70, 14,280.45 and 3,673.66 is: 5,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.70 : 14,280.45 = 3,673.66 : x
  2. Step 2: Convert to fraction form
    9,516.70/14,280.45 = 3,673.66/x
  3. Step 3: Cross multiply
    9,516.70x = 14,280.45 × 3,673.66
  4. Step 4: Simplify right side
    9,516.70x = 52,461,517.95
  5. Step 5: Solve for x
    x = 52,461,517.95/9,516.70
  6. Step 6: Final answer
    x = 5,512.57

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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.