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Finding the Fourth Proportional to 6,521.52, 9,782.70 and 2,625.42

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Solution

The fourth proportional to 6,521.52, 9,782.70 and 2,625.42 is: 3,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.52 : 9,782.70 = 2,625.42 : x
  2. Step 2: Convert to fraction form
    6,521.52/9,782.70 = 2,625.42/x
  3. Step 3: Cross multiply
    6,521.52x = 9,782.70 × 2,625.42
  4. Step 4: Simplify right side
    6,521.52x = 25,683,696.23
  5. Step 5: Solve for x
    x = 25,683,696.23/6,521.52
  6. Step 6: Final answer
    x = 3,938.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.