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Finding the Fourth Proportional to 6,102.63, 9,153.95 and 1,720.08

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Solution

The fourth proportional to 6,102.63, 9,153.95 and 1,720.08 is: 2,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.63 : 9,153.95 = 1,720.08 : x
  2. Step 2: Convert to fraction form
    6,102.63/9,153.95 = 1,720.08/x
  3. Step 3: Cross multiply
    6,102.63x = 9,153.95 × 1,720.08
  4. Step 4: Simplify right side
    6,102.63x = 15,745,517.72
  5. Step 5: Solve for x
    x = 15,745,517.72/6,102.63
  6. Step 6: Final answer
    x = 2,580.12

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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.