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Finding the Fourth Proportional to 9,150.84, 12,630.42 and 6,011.28

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Solution

The fourth proportional to 9,150.84, 12,630.42 and 6,011.28 is: 8,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.84 : 12,630.42 = 6,011.28 : x
  2. Step 2: Convert to fraction form
    9,150.84/12,630.42 = 6,011.28/x
  3. Step 3: Cross multiply
    9,150.84x = 12,630.42 × 6,011.28
  4. Step 4: Simplify right side
    9,150.84x = 75,924,991.14
  5. Step 5: Solve for x
    x = 75,924,991.14/9,150.84
  6. Step 6: Final answer
    x = 8,297.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.