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Finding the Fourth Proportional to 9,151.83, 13,729.26 and 3,602.22

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Solution

The fourth proportional to 9,151.83, 13,729.26 and 3,602.22 is: 5,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.83 : 13,729.26 = 3,602.22 : x
  2. Step 2: Convert to fraction form
    9,151.83/13,729.26 = 3,602.22/x
  3. Step 3: Cross multiply
    9,151.83x = 13,729.26 × 3,602.22
  4. Step 4: Simplify right side
    9,151.83x = 49,455,814.96
  5. Step 5: Solve for x
    x = 49,455,814.96/9,151.83
  6. Step 6: Final answer
    x = 5,403.93

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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.