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Finding the Fourth Proportional to 9,064.82, 13,599.53 and 2,824.99

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Solution

The fourth proportional to 9,064.82, 13,599.53 and 2,824.99 is: 4,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.82 : 13,599.53 = 2,824.99 : x
  2. Step 2: Convert to fraction form
    9,064.82/13,599.53 = 2,824.99/x
  3. Step 3: Cross multiply
    9,064.82x = 13,599.53 × 2,824.99
  4. Step 4: Simplify right side
    9,064.82x = 38,418,536.25
  5. Step 5: Solve for x
    x = 38,418,536.25/9,064.82
  6. Step 6: Final answer
    x = 4,238.20

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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.