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Finding the Fourth Proportional to 9,967.02, 14,950.43 and 2,571.42

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Solution

The fourth proportional to 9,967.02, 14,950.43 and 2,571.42 is: 3,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.02 : 14,950.43 = 2,571.42 : x
  2. Step 2: Convert to fraction form
    9,967.02/14,950.43 = 2,571.42/x
  3. Step 3: Cross multiply
    9,967.02x = 14,950.43 × 2,571.42
  4. Step 4: Simplify right side
    9,967.02x = 38,443,834.71
  5. Step 5: Solve for x
    x = 38,443,834.71/9,967.02
  6. Step 6: Final answer
    x = 3,857.10

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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.