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Finding the Fourth Proportional to 9,832.02, 13,587.44 and 8,738.52

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Solution

The fourth proportional to 9,832.02, 13,587.44 and 8,738.52 is: 12,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.02 : 13,587.44 = 8,738.52 : x
  2. Step 2: Convert to fraction form
    9,832.02/13,587.44 = 8,738.52/x
  3. Step 3: Cross multiply
    9,832.02x = 13,587.44 × 8,738.52
  4. Step 4: Simplify right side
    9,832.02x = 118,734,116.19
  5. Step 5: Solve for x
    x = 118,734,116.19/9,832.02
  6. Step 6: Final answer
    x = 12,076.27

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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.