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Finding the Fourth Proportional to 9,866.62, 13,611.90 and 7,285.74

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Solution

The fourth proportional to 9,866.62, 13,611.90 and 7,285.74 is: 10,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.62 : 13,611.90 = 7,285.74 : x
  2. Step 2: Convert to fraction form
    9,866.62/13,611.90 = 7,285.74/x
  3. Step 3: Cross multiply
    9,866.62x = 13,611.90 × 7,285.74
  4. Step 4: Simplify right side
    9,866.62x = 99,172,713.26
  5. Step 5: Solve for x
    x = 99,172,713.26/9,866.62
  6. Step 6: Final answer
    x = 10,051.34

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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.