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Finding the Fourth Proportional to 6,074.37, 9,097.37 and 4,676.61

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Solution

The fourth proportional to 6,074.37, 9,097.37 and 4,676.61 is: 7,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.37 : 9,097.37 = 4,676.61 : x
  2. Step 2: Convert to fraction form
    6,074.37/9,097.37 = 4,676.61/x
  3. Step 3: Cross multiply
    6,074.37x = 9,097.37 × 4,676.61
  4. Step 4: Simplify right side
    6,074.37x = 42,544,863.21
  5. Step 5: Solve for x
    x = 42,544,863.21/6,074.37
  6. Step 6: Final answer
    x = 7,004.00

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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.