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Finding the Fourth Proportional to 27,937.50, 41,897.35 and 9,214.04

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Solution

The fourth proportional to 27,937.50, 41,897.35 and 9,214.04 is: 13,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.50 : 41,897.35 = 9,214.04 : x
  2. Step 2: Convert to fraction form
    27,937.50/41,897.35 = 9,214.04/x
  3. Step 3: Cross multiply
    27,937.50x = 41,897.35 × 9,214.04
  4. Step 4: Simplify right side
    27,937.50x = 386,043,603.24
  5. Step 5: Solve for x
    x = 386,043,603.24/27,937.50
  6. Step 6: Final answer
    x = 13,818.12

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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.