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Finding the Fourth Proportional to 6,695.02, 9,239.14 and 3,710.80

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Solution

The fourth proportional to 6,695.02, 9,239.14 and 3,710.80 is: 5,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.02 : 9,239.14 = 3,710.80 : x
  2. Step 2: Convert to fraction form
    6,695.02/9,239.14 = 3,710.80/x
  3. Step 3: Cross multiply
    6,695.02x = 9,239.14 × 3,710.80
  4. Step 4: Simplify right side
    6,695.02x = 34,284,600.71
  5. Step 5: Solve for x
    x = 34,284,600.71/6,695.02
  6. Step 6: Final answer
    x = 5,120.91

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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.