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Finding the Fourth Proportional to 9,209.26, 13,813.99 and 7,372.06

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Solution

The fourth proportional to 9,209.26, 13,813.99 and 7,372.06 is: 11,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.26 : 13,813.99 = 7,372.06 : x
  2. Step 2: Convert to fraction form
    9,209.26/13,813.99 = 7,372.06/x
  3. Step 3: Cross multiply
    9,209.26x = 13,813.99 × 7,372.06
  4. Step 4: Simplify right side
    9,209.26x = 101,837,484.83
  5. Step 5: Solve for x
    x = 101,837,484.83/9,209.26
  6. Step 6: Final answer
    x = 11,058.16

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1.5x scale

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.