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Finding the Fourth Proportional to 9,641.80, 14,460.24 and 4,092.28

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Solution

The fourth proportional to 9,641.80, 14,460.24 and 4,092.28 is: 6,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.80 : 14,460.24 = 4,092.28 : x
  2. Step 2: Convert to fraction form
    9,641.80/14,460.24 = 4,092.28/x
  3. Step 3: Cross multiply
    9,641.80x = 14,460.24 × 4,092.28
  4. Step 4: Simplify right side
    9,641.80x = 59,175,350.95
  5. Step 5: Solve for x
    x = 59,175,350.95/9,641.80
  6. Step 6: Final answer
    x = 6,137.38

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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.