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Finding the Fourth Proportional to 9,832.42, 14,739.76 and 3,588

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Solution

The fourth proportional to 9,832.42, 14,739.76 and 3,588 is: 5,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.42 : 14,739.76 = 3,588 : x
  2. Step 2: Convert to fraction form
    9,832.42/14,739.76 = 3,588/x
  3. Step 3: Cross multiply
    9,832.42x = 14,739.76 × 3,588
  4. Step 4: Simplify right side
    9,832.42x = 52,886,258.88
  5. Step 5: Solve for x
    x = 52,886,258.88/9,832.42
  6. Step 6: Final answer
    x = 5,378.76

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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.