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Finding the Fourth Proportional to 9,065.16, 13,599 and 2,825.64

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Solution

The fourth proportional to 9,065.16, 13,599 and 2,825.64 is: 4,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.16 : 13,599 = 2,825.64 : x
  2. Step 2: Convert to fraction form
    9,065.16/13,599 = 2,825.64/x
  3. Step 3: Cross multiply
    9,065.16x = 13,599 × 2,825.64
  4. Step 4: Simplify right side
    9,065.16x = 38,425,878.36
  5. Step 5: Solve for x
    x = 38,425,878.36/9,065.16
  6. Step 6: Final answer
    x = 4,238.85

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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.