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Finding the Fourth Proportional to 6,162.63, 9,244.02 and 1,780.13

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Solution

The fourth proportional to 6,162.63, 9,244.02 and 1,780.13 is: 2,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.63 : 9,244.02 = 1,780.13 : x
  2. Step 2: Convert to fraction form
    6,162.63/9,244.02 = 1,780.13/x
  3. Step 3: Cross multiply
    6,162.63x = 9,244.02 × 1,780.13
  4. Step 4: Simplify right side
    6,162.63x = 16,455,511.10
  5. Step 5: Solve for x
    x = 16,455,511.10/6,162.63
  6. Step 6: Final answer
    x = 2,670.21

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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.