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Finding the Fourth Proportional to 6,911.76, 9,535.23 and 4,392.53

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Solution

The fourth proportional to 6,911.76, 9,535.23 and 4,392.53 is: 6,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.76 : 9,535.23 = 4,392.53 : x
  2. Step 2: Convert to fraction form
    6,911.76/9,535.23 = 4,392.53/x
  3. Step 3: Cross multiply
    6,911.76x = 9,535.23 × 4,392.53
  4. Step 4: Simplify right side
    6,911.76x = 41,883,719.68
  5. Step 5: Solve for x
    x = 41,883,719.68/6,911.76
  6. Step 6: Final answer
    x = 6,059.77

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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.