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Finding the Fourth Proportional to 6,093.36, 9,129.63 and 3,315.07

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Solution

The fourth proportional to 6,093.36, 9,129.63 and 3,315.07 is: 4,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.36 : 9,129.63 = 3,315.07 : x
  2. Step 2: Convert to fraction form
    6,093.36/9,129.63 = 3,315.07/x
  3. Step 3: Cross multiply
    6,093.36x = 9,129.63 × 3,315.07
  4. Step 4: Simplify right side
    6,093.36x = 30,265,339.70
  5. Step 5: Solve for x
    x = 30,265,339.70/6,093.36
  6. Step 6: Final answer
    x = 4,966.94

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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.