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Finding the Fourth Proportional to 6,905.87, 9,535.72 and 5,629.95

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Solution

The fourth proportional to 6,905.87, 9,535.72 and 5,629.95 is: 7,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.87 : 9,535.72 = 5,629.95 : x
  2. Step 2: Convert to fraction form
    6,905.87/9,535.72 = 5,629.95/x
  3. Step 3: Cross multiply
    6,905.87x = 9,535.72 × 5,629.95
  4. Step 4: Simplify right side
    6,905.87x = 53,685,626.81
  5. Step 5: Solve for x
    x = 53,685,626.81/6,905.87
  6. Step 6: Final answer
    x = 7,773.92

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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.