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Finding the Fourth Proportional to 6,129.45, 9,178.53 and 4,043.16

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Solution

The fourth proportional to 6,129.45, 9,178.53 and 4,043.16 is: 6,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.45 : 9,178.53 = 4,043.16 : x
  2. Step 2: Convert to fraction form
    6,129.45/9,178.53 = 4,043.16/x
  3. Step 3: Cross multiply
    6,129.45x = 9,178.53 × 4,043.16
  4. Step 4: Simplify right side
    6,129.45x = 37,110,265.35
  5. Step 5: Solve for x
    x = 37,110,265.35/6,129.45
  6. Step 6: Final answer
    x = 6,054.42

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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.