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Finding the Fourth Proportional to 6,024.58, 9,037.14 and 2,647.15

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Solution

The fourth proportional to 6,024.58, 9,037.14 and 2,647.15 is: 3,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.58 : 9,037.14 = 2,647.15 : x
  2. Step 2: Convert to fraction form
    6,024.58/9,037.14 = 2,647.15/x
  3. Step 3: Cross multiply
    6,024.58x = 9,037.14 × 2,647.15
  4. Step 4: Simplify right side
    6,024.58x = 23,922,665.15
  5. Step 5: Solve for x
    x = 23,922,665.15/6,024.58
  6. Step 6: Final answer
    x = 3,970.84

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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.