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Finding the Fourth Proportional to 9,065.62, 13,582.34 and 3,789

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Solution

The fourth proportional to 9,065.62, 13,582.34 and 3,789 is: 5,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.62 : 13,582.34 = 3,789 : x
  2. Step 2: Convert to fraction form
    9,065.62/13,582.34 = 3,789/x
  3. Step 3: Cross multiply
    9,065.62x = 13,582.34 × 3,789
  4. Step 4: Simplify right side
    9,065.62x = 51,463,481.52
  5. Step 5: Solve for x
    x = 51,463,481.52/9,065.62
  6. Step 6: Final answer
    x = 5,676.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.