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Finding the Fourth Proportional to 9,967.24, 14,951.74 and 5,033.72

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Solution

The fourth proportional to 9,967.24, 14,951.74 and 5,033.72 is: 7,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.24 : 14,951.74 = 5,033.72 : x
  2. Step 2: Convert to fraction form
    9,967.24/14,951.74 = 5,033.72/x
  3. Step 3: Cross multiply
    9,967.24x = 14,951.74 × 5,033.72
  4. Step 4: Simplify right side
    9,967.24x = 75,262,872.67
  5. Step 5: Solve for x
    x = 75,262,872.67/9,967.24
  6. Step 6: Final answer
    x = 7,551.02

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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.