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Finding the Fourth Proportional to 9,814.60, 14,721.87 and 3,975.31

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Solution

The fourth proportional to 9,814.60, 14,721.87 and 3,975.31 is: 5,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.60 : 14,721.87 = 3,975.31 : x
  2. Step 2: Convert to fraction form
    9,814.60/14,721.87 = 3,975.31/x
  3. Step 3: Cross multiply
    9,814.60x = 14,721.87 × 3,975.31
  4. Step 4: Simplify right side
    9,814.60x = 58,523,923.42
  5. Step 5: Solve for x
    x = 58,523,923.42/9,814.60
  6. Step 6: Final answer
    x = 5,962.95

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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.