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Finding the Fourth Proportional to 9,416.32, 12,999.36 and 6,634.24

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Solution

The fourth proportional to 9,416.32, 12,999.36 and 6,634.24 is: 9,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.32 : 12,999.36 = 6,634.24 : x
  2. Step 2: Convert to fraction form
    9,416.32/12,999.36 = 6,634.24/x
  3. Step 3: Cross multiply
    9,416.32x = 12,999.36 × 6,634.24
  4. Step 4: Simplify right side
    9,416.32x = 86,240,874.09
  5. Step 5: Solve for x
    x = 86,240,874.09/9,416.32
  6. Step 6: Final answer
    x = 9,158.66

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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.