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Finding the Fourth Proportional to 9,874.04, 13,598.50 and 9,843.28

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Solution

The fourth proportional to 9,874.04, 13,598.50 and 9,843.28 is: 13,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.04 : 13,598.50 = 9,843.28 : x
  2. Step 2: Convert to fraction form
    9,874.04/13,598.50 = 9,843.28/x
  3. Step 3: Cross multiply
    9,874.04x = 13,598.50 × 9,843.28
  4. Step 4: Simplify right side
    9,874.04x = 133,853,843.08
  5. Step 5: Solve for x
    x = 133,853,843.08/9,874.04
  6. Step 6: Final answer
    x = 13,556.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.