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Finding the Fourth Proportional to 9,934.14, 14,817.53 and 9,245.24

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Solution

The fourth proportional to 9,934.14, 14,817.53 and 9,245.24 is: 13,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.14 : 14,817.53 = 9,245.24 : x
  2. Step 2: Convert to fraction form
    9,934.14/14,817.53 = 9,245.24/x
  3. Step 3: Cross multiply
    9,934.14x = 14,817.53 × 9,245.24
  4. Step 4: Simplify right side
    9,934.14x = 136,991,625.65
  5. Step 5: Solve for x
    x = 136,991,625.65/9,934.14
  6. Step 6: Final answer
    x = 13,789.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.