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Finding the Fourth Proportional to 9,054, 13,580.82 and 3,209.22

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Solution

The fourth proportional to 9,054, 13,580.82 and 3,209.22 is: 4,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054 : 13,580.82 = 3,209.22 : x
  2. Step 2: Convert to fraction form
    9,054/13,580.82 = 3,209.22/x
  3. Step 3: Cross multiply
    9,054x = 13,580.82 × 3,209.22
  4. Step 4: Simplify right side
    9,054x = 43,583,839.16
  5. Step 5: Solve for x
    x = 43,583,839.16/9,054
  6. Step 6: Final answer
    x = 4,813.77

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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.