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Finding the Fourth Proportional to 9,619.97, 14,432.11 and 3,046.55

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Solution

The fourth proportional to 9,619.97, 14,432.11 and 3,046.55 is: 4,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.97 : 14,432.11 = 3,046.55 : x
  2. Step 2: Convert to fraction form
    9,619.97/14,432.11 = 3,046.55/x
  3. Step 3: Cross multiply
    9,619.97x = 14,432.11 × 3,046.55
  4. Step 4: Simplify right side
    9,619.97x = 43,968,064.94
  5. Step 5: Solve for x
    x = 43,968,064.94/9,619.97
  6. Step 6: Final answer
    x = 4,570.50

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Why These Related Problems?

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