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Finding the Fourth Proportional to 9,301.79, 12,833.10 and 6,116.83

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Solution

The fourth proportional to 9,301.79, 12,833.10 and 6,116.83 is: 8,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.79 : 12,833.10 = 6,116.83 : x
  2. Step 2: Convert to fraction form
    9,301.79/12,833.10 = 6,116.83/x
  3. Step 3: Cross multiply
    9,301.79x = 12,833.10 × 6,116.83
  4. Step 4: Simplify right side
    9,301.79x = 78,497,858.99
  5. Step 5: Solve for x
    x = 78,497,858.99/9,301.79
  6. Step 6: Final answer
    x = 8,439.00

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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.