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Finding the Fourth Proportional to 9,767.19, 14,651.18 and 2,841.69

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Solution

The fourth proportional to 9,767.19, 14,651.18 and 2,841.69 is: 4,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.19 : 14,651.18 = 2,841.69 : x
  2. Step 2: Convert to fraction form
    9,767.19/14,651.18 = 2,841.69/x
  3. Step 3: Cross multiply
    9,767.19x = 14,651.18 × 2,841.69
  4. Step 4: Simplify right side
    9,767.19x = 41,634,038.44
  5. Step 5: Solve for x
    x = 41,634,038.44/9,767.19
  6. Step 6: Final answer
    x = 4,262.64

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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.