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Finding the Fourth Proportional to 9,715.41, 14,573.13 and 3,876.12

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Solution

The fourth proportional to 9,715.41, 14,573.13 and 3,876.12 is: 5,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.41 : 14,573.13 = 3,876.12 : x
  2. Step 2: Convert to fraction form
    9,715.41/14,573.13 = 3,876.12/x
  3. Step 3: Cross multiply
    9,715.41x = 14,573.13 × 3,876.12
  4. Step 4: Simplify right side
    9,715.41x = 56,487,240.77
  5. Step 5: Solve for x
    x = 56,487,240.77/9,715.41
  6. Step 6: Final answer
    x = 5,814.19

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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.