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Finding the Fourth Proportional to 9,155.19, 13,732.47 and 3,886.82

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Solution

The fourth proportional to 9,155.19, 13,732.47 and 3,886.82 is: 5,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.19 : 13,732.47 = 3,886.82 : x
  2. Step 2: Convert to fraction form
    9,155.19/13,732.47 = 3,886.82/x
  3. Step 3: Cross multiply
    9,155.19x = 13,732.47 × 3,886.82
  4. Step 4: Simplify right side
    9,155.19x = 53,375,570.38
  5. Step 5: Solve for x
    x = 53,375,570.38/9,155.19
  6. Step 6: Final answer
    x = 5,830.09

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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.