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Finding the Fourth Proportional to 6,134.81, 9,190.46 and 5,030.24

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Solution

The fourth proportional to 6,134.81, 9,190.46 and 5,030.24 is: 7,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.81 : 9,190.46 = 5,030.24 : x
  2. Step 2: Convert to fraction form
    6,134.81/9,190.46 = 5,030.24/x
  3. Step 3: Cross multiply
    6,134.81x = 9,190.46 × 5,030.24
  4. Step 4: Simplify right side
    6,134.81x = 46,230,186.13
  5. Step 5: Solve for x
    x = 46,230,186.13/6,134.81
  6. Step 6: Final answer
    x = 7,535.72

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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.