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Finding the Fourth Proportional to 6,904.40, 9,528.47 and 5,199.85

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Solution

The fourth proportional to 6,904.40, 9,528.47 and 5,199.85 is: 7,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.40 : 9,528.47 = 5,199.85 : x
  2. Step 2: Convert to fraction form
    6,904.40/9,528.47 = 5,199.85/x
  3. Step 3: Cross multiply
    6,904.40x = 9,528.47 × 5,199.85
  4. Step 4: Simplify right side
    6,904.40x = 49,546,614.73
  5. Step 5: Solve for x
    x = 49,546,614.73/6,904.40
  6. Step 6: Final answer
    x = 7,176.09

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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.