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Finding the Fourth Proportional to 9,150.64, 12,633.24 and 6,012.34

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Solution

The fourth proportional to 9,150.64, 12,633.24 and 6,012.34 is: 8,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.64 : 12,633.24 = 6,012.34 : x
  2. Step 2: Convert to fraction form
    9,150.64/12,633.24 = 6,012.34/x
  3. Step 3: Cross multiply
    9,150.64x = 12,633.24 × 6,012.34
  4. Step 4: Simplify right side
    9,150.64x = 75,955,334.18
  5. Step 5: Solve for x
    x = 75,955,334.18/9,150.64
  6. Step 6: Final answer
    x = 8,300.55

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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.