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Finding the Fourth Proportional to 9,778.84, 14,666.78 and 3,205.26

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Solution

The fourth proportional to 9,778.84, 14,666.78 and 3,205.26 is: 4,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.84 : 14,666.78 = 3,205.26 : x
  2. Step 2: Convert to fraction form
    9,778.84/14,666.78 = 3,205.26/x
  3. Step 3: Cross multiply
    9,778.84x = 14,666.78 × 3,205.26
  4. Step 4: Simplify right side
    9,778.84x = 47,010,843.26
  5. Step 5: Solve for x
    x = 47,010,843.26/9,778.84
  6. Step 6: Final answer
    x = 4,807.40

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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.