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Finding the Fourth Proportional to 9,611.75, 14,417.64 and 2,686.25

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Solution

The fourth proportional to 9,611.75, 14,417.64 and 2,686.25 is: 4,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.75 : 14,417.64 = 2,686.25 : x
  2. Step 2: Convert to fraction form
    9,611.75/14,417.64 = 2,686.25/x
  3. Step 3: Cross multiply
    9,611.75x = 14,417.64 × 2,686.25
  4. Step 4: Simplify right side
    9,611.75x = 38,729,385.45
  5. Step 5: Solve for x
    x = 38,729,385.45/9,611.75
  6. Step 6: Final answer
    x = 4,029.38

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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.