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Finding the Fourth Proportional to 6,129.81, 9,191.22 and 5,607.36

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Solution

The fourth proportional to 6,129.81, 9,191.22 and 5,607.36 is: 8,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.81 : 9,191.22 = 5,607.36 : x
  2. Step 2: Convert to fraction form
    6,129.81/9,191.22 = 5,607.36/x
  3. Step 3: Cross multiply
    6,129.81x = 9,191.22 × 5,607.36
  4. Step 4: Simplify right side
    6,129.81x = 51,538,479.38
  5. Step 5: Solve for x
    x = 51,538,479.38/6,129.81
  6. Step 6: Final answer
    x = 8,407.84

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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.