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Finding the Fourth Proportional to 9,159.67, 13,730.27 and 3,610.86

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Solution

The fourth proportional to 9,159.67, 13,730.27 and 3,610.86 is: 5,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.67 : 13,730.27 = 3,610.86 : x
  2. Step 2: Convert to fraction form
    9,159.67/13,730.27 = 3,610.86/x
  3. Step 3: Cross multiply
    9,159.67x = 13,730.27 × 3,610.86
  4. Step 4: Simplify right side
    9,159.67x = 49,578,108.03
  5. Step 5: Solve for x
    x = 49,578,108.03/9,159.67
  6. Step 6: Final answer
    x = 5,412.65

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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.