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Finding the Fourth Proportional to 9,082.33, 13,607.97 and 4,404.58

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Solution

The fourth proportional to 9,082.33, 13,607.97 and 4,404.58 is: 6,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.33 : 13,607.97 = 4,404.58 : x
  2. Step 2: Convert to fraction form
    9,082.33/13,607.97 = 4,404.58/x
  3. Step 3: Cross multiply
    9,082.33x = 13,607.97 × 4,404.58
  4. Step 4: Simplify right side
    9,082.33x = 59,937,392.50
  5. Step 5: Solve for x
    x = 59,937,392.50/9,082.33
  6. Step 6: Final answer
    x = 6,599.34

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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.