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Finding the Fourth Proportional to 9,713.14, 14,571.12 and 3,869.40

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Solution

The fourth proportional to 9,713.14, 14,571.12 and 3,869.40 is: 5,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.14 : 14,571.12 = 3,869.40 : x
  2. Step 2: Convert to fraction form
    9,713.14/14,571.12 = 3,869.40/x
  3. Step 3: Cross multiply
    9,713.14x = 14,571.12 × 3,869.40
  4. Step 4: Simplify right side
    9,713.14x = 56,381,491.73
  5. Step 5: Solve for x
    x = 56,381,491.73/9,713.14
  6. Step 6: Final answer
    x = 5,804.66

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Why These Related Problems?

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