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Finding the Fourth Proportional to 6,061.07, 9,094.35 and 3,097.69

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Solution

The fourth proportional to 6,061.07, 9,094.35 and 3,097.69 is: 4,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.07 : 9,094.35 = 3,097.69 : x
  2. Step 2: Convert to fraction form
    6,061.07/9,094.35 = 3,097.69/x
  3. Step 3: Cross multiply
    6,061.07x = 9,094.35 × 3,097.69
  4. Step 4: Simplify right side
    6,061.07x = 28,171,477.05
  5. Step 5: Solve for x
    x = 28,171,477.05/6,061.07
  6. Step 6: Final answer
    x = 4,647.94

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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.