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Finding the Fourth Proportional to 9,536.84, 14,305.90 and 3,297.46

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Solution

The fourth proportional to 9,536.84, 14,305.90 and 3,297.46 is: 4,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.84 : 14,305.90 = 3,297.46 : x
  2. Step 2: Convert to fraction form
    9,536.84/14,305.90 = 3,297.46/x
  3. Step 3: Cross multiply
    9,536.84x = 14,305.90 × 3,297.46
  4. Step 4: Simplify right side
    9,536.84x = 47,173,133.01
  5. Step 5: Solve for x
    x = 47,173,133.01/9,536.84
  6. Step 6: Final answer
    x = 4,946.41

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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.