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Finding the Fourth Proportional to 6,656.38, 9,936.57 and 5,784.92

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Solution

The fourth proportional to 6,656.38, 9,936.57 and 5,784.92 is: 8,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.38 : 9,936.57 = 5,784.92 : x
  2. Step 2: Convert to fraction form
    6,656.38/9,936.57 = 5,784.92/x
  3. Step 3: Cross multiply
    6,656.38x = 9,936.57 × 5,784.92
  4. Step 4: Simplify right side
    6,656.38x = 57,482,271.80
  5. Step 5: Solve for x
    x = 57,482,271.80/6,656.38
  6. Step 6: Final answer
    x = 8,635.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.