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Finding the Fourth Proportional to 9,967.20, 14,950.80 and 9,043.80

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Solution

The fourth proportional to 9,967.20, 14,950.80 and 9,043.80 is: 13,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.20 : 14,950.80 = 9,043.80 : x
  2. Step 2: Convert to fraction form
    9,967.20/14,950.80 = 9,043.80/x
  3. Step 3: Cross multiply
    9,967.20x = 14,950.80 × 9,043.80
  4. Step 4: Simplify right side
    9,967.20x = 135,212,045.04
  5. Step 5: Solve for x
    x = 135,212,045.04/9,967.20
  6. Step 6: Final answer
    x = 13,565.70

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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.