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Finding the Fourth Proportional to 9,159.25, 13,729.59 and 3,616.50

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Solution

The fourth proportional to 9,159.25, 13,729.59 and 3,616.50 is: 5,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.25 : 13,729.59 = 3,616.50 : x
  2. Step 2: Convert to fraction form
    9,159.25/13,729.59 = 3,616.50/x
  3. Step 3: Cross multiply
    9,159.25x = 13,729.59 × 3,616.50
  4. Step 4: Simplify right side
    9,159.25x = 49,653,062.24
  5. Step 5: Solve for x
    x = 49,653,062.24/9,159.25
  6. Step 6: Final answer
    x = 5,421.09

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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.