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Finding the Fourth Proportional to 27,765.32, 41,643.66 and 9,293

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Solution

The fourth proportional to 27,765.32, 41,643.66 and 9,293 is: 13,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.32 : 41,643.66 = 9,293 : x
  2. Step 2: Convert to fraction form
    27,765.32/41,643.66 = 9,293/x
  3. Step 3: Cross multiply
    27,765.32x = 41,643.66 × 9,293
  4. Step 4: Simplify right side
    27,765.32x = 386,994,532.38
  5. Step 5: Solve for x
    x = 386,994,532.38/27,765.32
  6. Step 6: Final answer
    x = 13,938.05

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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.