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Finding the Fourth Proportional to 10,454.74, 14,422.83 and 6,205.98

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Solution

The fourth proportional to 10,454.74, 14,422.83 and 6,205.98 is: 8,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.74 : 14,422.83 = 6,205.98 : x
  2. Step 2: Convert to fraction form
    10,454.74/14,422.83 = 6,205.98/x
  3. Step 3: Cross multiply
    10,454.74x = 14,422.83 × 6,205.98
  4. Step 4: Simplify right side
    10,454.74x = 89,507,794.52
  5. Step 5: Solve for x
    x = 89,507,794.52/10,454.74
  6. Step 6: Final answer
    x = 8,561.46

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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.