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Finding the Fourth Proportional to 6,103.14, 9,154.72 and 1,720.03

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Solution

The fourth proportional to 6,103.14, 9,154.72 and 1,720.03 is: 2,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.14 : 9,154.72 = 1,720.03 : x
  2. Step 2: Convert to fraction form
    6,103.14/9,154.72 = 1,720.03/x
  3. Step 3: Cross multiply
    6,103.14x = 9,154.72 × 1,720.03
  4. Step 4: Simplify right side
    6,103.14x = 15,746,393.04
  5. Step 5: Solve for x
    x = 15,746,393.04/6,103.14
  6. Step 6: Final answer
    x = 2,580.05

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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.