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Finding the Fourth Proportional to 9,666.84, 14,500.26 and 8,202.36

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Solution

The fourth proportional to 9,666.84, 14,500.26 and 8,202.36 is: 12,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.84 : 14,500.26 = 8,202.36 : x
  2. Step 2: Convert to fraction form
    9,666.84/14,500.26 = 8,202.36/x
  3. Step 3: Cross multiply
    9,666.84x = 14,500.26 × 8,202.36
  4. Step 4: Simplify right side
    9,666.84x = 118,936,352.61
  5. Step 5: Solve for x
    x = 118,936,352.61/9,666.84
  6. Step 6: Final answer
    x = 12,303.54

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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.