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Finding the Fourth Proportional to 9,673.98, 14,515.07 and 5,286.31

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Solution

The fourth proportional to 9,673.98, 14,515.07 and 5,286.31 is: 7,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.98 : 14,515.07 = 5,286.31 : x
  2. Step 2: Convert to fraction form
    9,673.98/14,515.07 = 5,286.31/x
  3. Step 3: Cross multiply
    9,673.98x = 14,515.07 × 5,286.31
  4. Step 4: Simplify right side
    9,673.98x = 76,731,159.69
  5. Step 5: Solve for x
    x = 76,731,159.69/9,673.98
  6. Step 6: Final answer
    x = 7,931.71

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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.