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Finding the Fourth Proportional to 9,935.64, 13,710.09 and 7,945.47

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Solution

The fourth proportional to 9,935.64, 13,710.09 and 7,945.47 is: 10,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.64 : 13,710.09 = 7,945.47 : x
  2. Step 2: Convert to fraction form
    9,935.64/13,710.09 = 7,945.47/x
  3. Step 3: Cross multiply
    9,935.64x = 13,710.09 × 7,945.47
  4. Step 4: Simplify right side
    9,935.64x = 108,933,108.79
  5. Step 5: Solve for x
    x = 108,933,108.79/9,935.64
  6. Step 6: Final answer
    x = 10,963.87

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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.