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Finding the Fourth Proportional to 6,934.98, 9,570.21 and 3,911.07

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Solution

The fourth proportional to 6,934.98, 9,570.21 and 3,911.07 is: 5,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.98 : 9,570.21 = 3,911.07 : x
  2. Step 2: Convert to fraction form
    6,934.98/9,570.21 = 3,911.07/x
  3. Step 3: Cross multiply
    6,934.98x = 9,570.21 × 3,911.07
  4. Step 4: Simplify right side
    6,934.98x = 37,429,761.22
  5. Step 5: Solve for x
    x = 37,429,761.22/6,934.98
  6. Step 6: Final answer
    x = 5,397.24

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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.