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Finding the Fourth Proportional to 9,852.89, 14,774.67 and 3,611.23

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Solution

The fourth proportional to 9,852.89, 14,774.67 and 3,611.23 is: 5,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.89 : 14,774.67 = 3,611.23 : x
  2. Step 2: Convert to fraction form
    9,852.89/14,774.67 = 3,611.23/x
  3. Step 3: Cross multiply
    9,852.89x = 14,774.67 × 3,611.23
  4. Step 4: Simplify right side
    9,852.89x = 53,354,694.61
  5. Step 5: Solve for x
    x = 53,354,694.61/9,852.89
  6. Step 6: Final answer
    x = 5,415.13

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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.