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Finding the Fourth Proportional to 9,295.35, 13,939.48 and 3,746.80

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Solution

The fourth proportional to 9,295.35, 13,939.48 and 3,746.80 is: 5,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.35 : 13,939.48 = 3,746.80 : x
  2. Step 2: Convert to fraction form
    9,295.35/13,939.48 = 3,746.80/x
  3. Step 3: Cross multiply
    9,295.35x = 13,939.48 × 3,746.80
  4. Step 4: Simplify right side
    9,295.35x = 52,228,443.66
  5. Step 5: Solve for x
    x = 52,228,443.66/9,295.35
  6. Step 6: Final answer
    x = 5,618.77

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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.