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Finding the Fourth Proportional to 9,690.94, 14,536.47 and 3,451.20

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Solution

The fourth proportional to 9,690.94, 14,536.47 and 3,451.20 is: 5,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.94 : 14,536.47 = 3,451.20 : x
  2. Step 2: Convert to fraction form
    9,690.94/14,536.47 = 3,451.20/x
  3. Step 3: Cross multiply
    9,690.94x = 14,536.47 × 3,451.20
  4. Step 4: Simplify right side
    9,690.94x = 50,168,204.28
  5. Step 5: Solve for x
    x = 50,168,204.28/9,690.94
  6. Step 6: Final answer
    x = 5,176.81

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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.