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Finding the Fourth Proportional to 9,939.12, 13,702.47 and 7,505.85

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Solution

The fourth proportional to 9,939.12, 13,702.47 and 7,505.85 is: 10,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.12 : 13,702.47 = 7,505.85 : x
  2. Step 2: Convert to fraction form
    9,939.12/13,702.47 = 7,505.85/x
  3. Step 3: Cross multiply
    9,939.12x = 13,702.47 × 7,505.85
  4. Step 4: Simplify right side
    9,939.12x = 102,848,684.45
  5. Step 5: Solve for x
    x = 102,848,684.45/9,939.12
  6. Step 6: Final answer
    x = 10,347.87

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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.