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Finding the Fourth Proportional to 6,097.58, 9,146.24 and 2,810.67

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Solution

The fourth proportional to 6,097.58, 9,146.24 and 2,810.67 is: 4,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.58 : 9,146.24 = 2,810.67 : x
  2. Step 2: Convert to fraction form
    6,097.58/9,146.24 = 2,810.67/x
  3. Step 3: Cross multiply
    6,097.58x = 9,146.24 × 2,810.67
  4. Step 4: Simplify right side
    6,097.58x = 25,707,076.02
  5. Step 5: Solve for x
    x = 25,707,076.02/6,097.58
  6. Step 6: Final answer
    x = 4,215.95

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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.