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Finding the Fourth Proportional to 9,708.91, 13,398.79 and 5,729.94

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Solution

The fourth proportional to 9,708.91, 13,398.79 and 5,729.94 is: 7,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.91 : 13,398.79 = 5,729.94 : x
  2. Step 2: Convert to fraction form
    9,708.91/13,398.79 = 5,729.94/x
  3. Step 3: Cross multiply
    9,708.91x = 13,398.79 × 5,729.94
  4. Step 4: Simplify right side
    9,708.91x = 76,774,275.31
  5. Step 5: Solve for x
    x = 76,774,275.31/9,708.91
  6. Step 6: Final answer
    x = 7,907.61

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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.