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Finding the Fourth Proportional to 9,291.04, 13,936.60 and 3,446.08

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Solution

The fourth proportional to 9,291.04, 13,936.60 and 3,446.08 is: 5,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.04 : 13,936.60 = 3,446.08 : x
  2. Step 2: Convert to fraction form
    9,291.04/13,936.60 = 3,446.08/x
  3. Step 3: Cross multiply
    9,291.04x = 13,936.60 × 3,446.08
  4. Step 4: Simplify right side
    9,291.04x = 48,026,638.53
  5. Step 5: Solve for x
    x = 48,026,638.53/9,291.04
  6. Step 6: Final answer
    x = 5,169.13

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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.