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Finding the Fourth Proportional to 9,155.71, 13,732.34 and 2,582.42

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Solution

The fourth proportional to 9,155.71, 13,732.34 and 2,582.42 is: 3,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.71 : 13,732.34 = 2,582.42 : x
  2. Step 2: Convert to fraction form
    9,155.71/13,732.34 = 2,582.42/x
  3. Step 3: Cross multiply
    9,155.71x = 13,732.34 × 2,582.42
  4. Step 4: Simplify right side
    9,155.71x = 35,462,710.25
  5. Step 5: Solve for x
    x = 35,462,710.25/9,155.71
  6. Step 6: Final answer
    x = 3,873.29

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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.