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Finding the Fourth Proportional to 9,934.16, 13,687.49 and 7,415.25

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Solution

The fourth proportional to 9,934.16, 13,687.49 and 7,415.25 is: 10,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.16 : 13,687.49 = 7,415.25 : x
  2. Step 2: Convert to fraction form
    9,934.16/13,687.49 = 7,415.25/x
  3. Step 3: Cross multiply
    9,934.16x = 13,687.49 × 7,415.25
  4. Step 4: Simplify right side
    9,934.16x = 101,496,123.15
  5. Step 5: Solve for x
    x = 101,496,123.15/9,934.16
  6. Step 6: Final answer
    x = 10,216.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.