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Finding the Fourth Proportional to 6,086.04, 9,129.24 and 4,768.56

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Solution

The fourth proportional to 6,086.04, 9,129.24 and 4,768.56 is: 7,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.04 : 9,129.24 = 4,768.56 : x
  2. Step 2: Convert to fraction form
    6,086.04/9,129.24 = 4,768.56/x
  3. Step 3: Cross multiply
    6,086.04x = 9,129.24 × 4,768.56
  4. Step 4: Simplify right side
    6,086.04x = 43,533,328.69
  5. Step 5: Solve for x
    x = 43,533,328.69/6,086.04
  6. Step 6: Final answer
    x = 7,152.98

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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.