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Finding the Fourth Proportional to 6,102.86, 9,153 and 1,719.14

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Solution

The fourth proportional to 6,102.86, 9,153 and 1,719.14 is: 2,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.86 : 9,153 = 1,719.14 : x
  2. Step 2: Convert to fraction form
    6,102.86/9,153 = 1,719.14/x
  3. Step 3: Cross multiply
    6,102.86x = 9,153 × 1,719.14
  4. Step 4: Simplify right side
    6,102.86x = 15,735,242.66
  5. Step 5: Solve for x
    x = 15,735,242.66/6,102.86
  6. Step 6: Final answer
    x = 2,578.34

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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.