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Finding the Fourth Proportional to 6,029.16, 9,060.84 and 3,564.42

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Solution

The fourth proportional to 6,029.16, 9,060.84 and 3,564.42 is: 5,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.16 : 9,060.84 = 3,564.42 : x
  2. Step 2: Convert to fraction form
    6,029.16/9,060.84 = 3,564.42/x
  3. Step 3: Cross multiply
    6,029.16x = 9,060.84 × 3,564.42
  4. Step 4: Simplify right side
    6,029.16x = 32,296,639.31
  5. Step 5: Solve for x
    x = 32,296,639.31/6,029.16
  6. Step 6: Final answer
    x = 5,356.74

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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.