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Finding the Fourth Proportional to 9,929.35, 13,698.57 and 5,950.81

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Solution

The fourth proportional to 9,929.35, 13,698.57 and 5,950.81 is: 8,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.35 : 13,698.57 = 5,950.81 : x
  2. Step 2: Convert to fraction form
    9,929.35/13,698.57 = 5,950.81/x
  3. Step 3: Cross multiply
    9,929.35x = 13,698.57 × 5,950.81
  4. Step 4: Simplify right side
    9,929.35x = 81,517,587.34
  5. Step 5: Solve for x
    x = 81,517,587.34/9,929.35
  6. Step 6: Final answer
    x = 8,209.76

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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.