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Finding the Fourth Proportional to 9,231.69, 12,741.19 and 5,871.00

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Solution

The fourth proportional to 9,231.69, 12,741.19 and 5,871.00 is: 8,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.69 : 12,741.19 = 5,871.00 : x
  2. Step 2: Convert to fraction form
    9,231.69/12,741.19 = 5,871.00/x
  3. Step 3: Cross multiply
    9,231.69x = 12,741.19 × 5,871.00
  4. Step 4: Simplify right side
    9,231.69x = 74,803,448.11
  5. Step 5: Solve for x
    x = 74,803,448.11/9,231.69
  6. Step 6: Final answer
    x = 8,102.90

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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.