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Finding the Fourth Proportional to 9,666.18, 14,504.52 and 6,380.82

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Solution

The fourth proportional to 9,666.18, 14,504.52 and 6,380.82 is: 9,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.18 : 14,504.52 = 6,380.82 : x
  2. Step 2: Convert to fraction form
    9,666.18/14,504.52 = 6,380.82/x
  3. Step 3: Cross multiply
    9,666.18x = 14,504.52 × 6,380.82
  4. Step 4: Simplify right side
    9,666.18x = 92,550,731.31
  5. Step 5: Solve for x
    x = 92,550,731.31/9,666.18
  6. Step 6: Final answer
    x = 9,574.70

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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.