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Finding the Fourth Proportional to 9,710.18, 14,566.22 and 3,865.43

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Solution

The fourth proportional to 9,710.18, 14,566.22 and 3,865.43 is: 5,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.18 : 14,566.22 = 3,865.43 : x
  2. Step 2: Convert to fraction form
    9,710.18/14,566.22 = 3,865.43/x
  3. Step 3: Cross multiply
    9,710.18x = 14,566.22 × 3,865.43
  4. Step 4: Simplify right side
    9,710.18x = 56,304,611.62
  5. Step 5: Solve for x
    x = 56,304,611.62/9,710.18
  6. Step 6: Final answer
    x = 5,798.52

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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.