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Finding the Fourth Proportional to 9,295.41, 13,944.15 and 3,053.64

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Solution

The fourth proportional to 9,295.41, 13,944.15 and 3,053.64 is: 4,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.41 : 13,944.15 = 3,053.64 : x
  2. Step 2: Convert to fraction form
    9,295.41/13,944.15 = 3,053.64/x
  3. Step 3: Cross multiply
    9,295.41x = 13,944.15 × 3,053.64
  4. Step 4: Simplify right side
    9,295.41x = 42,580,414.21
  5. Step 5: Solve for x
    x = 42,580,414.21/9,295.41
  6. Step 6: Final answer
    x = 4,580.80

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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.