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Finding the Fourth Proportional to 6,043.96, 9,024.56 and 5,415.20

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Solution

The fourth proportional to 6,043.96, 9,024.56 and 5,415.20 is: 8,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.96 : 9,024.56 = 5,415.20 : x
  2. Step 2: Convert to fraction form
    6,043.96/9,024.56 = 5,415.20/x
  3. Step 3: Cross multiply
    6,043.96x = 9,024.56 × 5,415.20
  4. Step 4: Simplify right side
    6,043.96x = 48,869,797.31
  5. Step 5: Solve for x
    x = 48,869,797.31/6,043.96
  6. Step 6: Final answer
    x = 8,085.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.