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Finding the Fourth Proportional to 9,934.49, 13,709.04 and 5,953.61

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Solution

The fourth proportional to 9,934.49, 13,709.04 and 5,953.61 is: 8,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.49 : 13,709.04 = 5,953.61 : x
  2. Step 2: Convert to fraction form
    9,934.49/13,709.04 = 5,953.61/x
  3. Step 3: Cross multiply
    9,934.49x = 13,709.04 × 5,953.61
  4. Step 4: Simplify right side
    9,934.49x = 81,618,277.63
  5. Step 5: Solve for x
    x = 81,618,277.63/9,934.49
  6. Step 6: Final answer
    x = 8,215.65

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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.