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Finding the Fourth Proportional to 9,710.79, 13,392.61 and 8,205.70

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Solution

The fourth proportional to 9,710.79, 13,392.61 and 8,205.70 is: 11,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.79 : 13,392.61 = 8,205.70 : x
  2. Step 2: Convert to fraction form
    9,710.79/13,392.61 = 8,205.70/x
  3. Step 3: Cross multiply
    9,710.79x = 13,392.61 × 8,205.70
  4. Step 4: Simplify right side
    9,710.79x = 109,895,739.88
  5. Step 5: Solve for x
    x = 109,895,739.88/9,710.79
  6. Step 6: Final answer
    x = 11,316.87

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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.