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Finding the Fourth Proportional to 9,156.83, 13,730.65 and 3,891.29

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Solution

The fourth proportional to 9,156.83, 13,730.65 and 3,891.29 is: 5,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.83 : 13,730.65 = 3,891.29 : x
  2. Step 2: Convert to fraction form
    9,156.83/13,730.65 = 3,891.29/x
  3. Step 3: Cross multiply
    9,156.83x = 13,730.65 × 3,891.29
  4. Step 4: Simplify right side
    9,156.83x = 53,429,862.66
  5. Step 5: Solve for x
    x = 53,429,862.66/9,156.83
  6. Step 6: Final answer
    x = 5,834.98

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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.