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Finding the Fourth Proportional to 6,074.46, 9,097.52 and 4,676.72

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Solution

The fourth proportional to 6,074.46, 9,097.52 and 4,676.72 is: 7,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.46 : 9,097.52 = 4,676.72 : x
  2. Step 2: Convert to fraction form
    6,074.46/9,097.52 = 4,676.72/x
  3. Step 3: Cross multiply
    6,074.46x = 9,097.52 × 4,676.72
  4. Step 4: Simplify right side
    6,074.46x = 42,546,484.86
  5. Step 5: Solve for x
    x = 42,546,484.86/6,074.46
  6. Step 6: Final answer
    x = 7,004.16

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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.