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Finding the Fourth Proportional to 9,586.76, 13,231.04 and 5,607.88

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Solution

The fourth proportional to 9,586.76, 13,231.04 and 5,607.88 is: 7,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.76 : 13,231.04 = 5,607.88 : x
  2. Step 2: Convert to fraction form
    9,586.76/13,231.04 = 5,607.88/x
  3. Step 3: Cross multiply
    9,586.76x = 13,231.04 × 5,607.88
  4. Step 4: Simplify right side
    9,586.76x = 74,198,023.48
  5. Step 5: Solve for x
    x = 74,198,023.48/9,586.76
  6. Step 6: Final answer
    x = 7,739.64

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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.