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Finding the Fourth Proportional to 9,928.83, 13,700.76 and 5,949.84

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Solution

The fourth proportional to 9,928.83, 13,700.76 and 5,949.84 is: 8,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.83 : 13,700.76 = 5,949.84 : x
  2. Step 2: Convert to fraction form
    9,928.83/13,700.76 = 5,949.84/x
  3. Step 3: Cross multiply
    9,928.83x = 13,700.76 × 5,949.84
  4. Step 4: Simplify right side
    9,928.83x = 81,517,329.88
  5. Step 5: Solve for x
    x = 81,517,329.88/9,928.83
  6. Step 6: Final answer
    x = 8,210.16

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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.