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Finding the Fourth Proportional to 9,159.86, 13,730.43 and 3,610.95

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Solution

The fourth proportional to 9,159.86, 13,730.43 and 3,610.95 is: 5,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.86 : 13,730.43 = 3,610.95 : x
  2. Step 2: Convert to fraction form
    9,159.86/13,730.43 = 3,610.95/x
  3. Step 3: Cross multiply
    9,159.86x = 13,730.43 × 3,610.95
  4. Step 4: Simplify right side
    9,159.86x = 49,579,896.21
  5. Step 5: Solve for x
    x = 49,579,896.21/9,159.86
  6. Step 6: Final answer
    x = 5,412.74

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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.