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Finding the Fourth Proportional to 9,294, 13,945.10 and 3,758.16

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Solution

The fourth proportional to 9,294, 13,945.10 and 3,758.16 is: 5,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294 : 13,945.10 = 3,758.16 : x
  2. Step 2: Convert to fraction form
    9,294/13,945.10 = 3,758.16/x
  3. Step 3: Cross multiply
    9,294x = 13,945.10 × 3,758.16
  4. Step 4: Simplify right side
    9,294x = 52,407,917.02
  5. Step 5: Solve for x
    x = 52,407,917.02/9,294
  6. Step 6: Final answer
    x = 5,638.90

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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.