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Finding the Fourth Proportional to 6,911.90, 9,535.70 and 4,254.69

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Solution

The fourth proportional to 6,911.90, 9,535.70 and 4,254.69 is: 5,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.90 : 9,535.70 = 4,254.69 : x
  2. Step 2: Convert to fraction form
    6,911.90/9,535.70 = 4,254.69/x
  3. Step 3: Cross multiply
    6,911.90x = 9,535.70 × 4,254.69
  4. Step 4: Simplify right side
    6,911.90x = 40,571,447.43
  5. Step 5: Solve for x
    x = 40,571,447.43/6,911.90
  6. Step 6: Final answer
    x = 5,869.80

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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.