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Finding the Fourth Proportional to 9,651.17, 14,451.37 and 7,767.04

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Solution

The fourth proportional to 9,651.17, 14,451.37 and 7,767.04 is: 11,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.17 : 14,451.37 = 7,767.04 : x
  2. Step 2: Convert to fraction form
    9,651.17/14,451.37 = 7,767.04/x
  3. Step 3: Cross multiply
    9,651.17x = 14,451.37 × 7,767.04
  4. Step 4: Simplify right side
    9,651.17x = 112,244,368.84
  5. Step 5: Solve for x
    x = 112,244,368.84/9,651.17
  6. Step 6: Final answer
    x = 11,630.13

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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.