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Finding the Fourth Proportional to 9,967.32, 14,950.36 and 4,123.78

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Solution

The fourth proportional to 9,967.32, 14,950.36 and 4,123.78 is: 6,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.32 : 14,950.36 = 4,123.78 : x
  2. Step 2: Convert to fraction form
    9,967.32/14,950.36 = 4,123.78/x
  3. Step 3: Cross multiply
    9,967.32x = 14,950.36 × 4,123.78
  4. Step 4: Simplify right side
    9,967.32x = 61,651,995.56
  5. Step 5: Solve for x
    x = 61,651,995.56/9,967.32
  6. Step 6: Final answer
    x = 6,185.41

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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.