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Finding the Fourth Proportional to 6,146.07, 9,219.08 and 1,763.52

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Solution

The fourth proportional to 6,146.07, 9,219.08 and 1,763.52 is: 2,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.07 : 9,219.08 = 1,763.52 : x
  2. Step 2: Convert to fraction form
    6,146.07/9,219.08 = 1,763.52/x
  3. Step 3: Cross multiply
    6,146.07x = 9,219.08 × 1,763.52
  4. Step 4: Simplify right side
    6,146.07x = 16,258,023.14
  5. Step 5: Solve for x
    x = 16,258,023.14/6,146.07
  6. Step 6: Final answer
    x = 2,645.27

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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.