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Finding the Fourth Proportional to 6,147.29, 9,219.72 and 1,763.72

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Solution

The fourth proportional to 6,147.29, 9,219.72 and 1,763.72 is: 2,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.29 : 9,219.72 = 1,763.72 : x
  2. Step 2: Convert to fraction form
    6,147.29/9,219.72 = 1,763.72/x
  3. Step 3: Cross multiply
    6,147.29x = 9,219.72 × 1,763.72
  4. Step 4: Simplify right side
    6,147.29x = 16,261,051.51
  5. Step 5: Solve for x
    x = 16,261,051.51/6,147.29
  6. Step 6: Final answer
    x = 2,645.24

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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.