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Finding the Fourth Proportional to 9,064.51, 13,596.76 and 5,774.29

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Solution

The fourth proportional to 9,064.51, 13,596.76 and 5,774.29 is: 8,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.51 : 13,596.76 = 5,774.29 : x
  2. Step 2: Convert to fraction form
    9,064.51/13,596.76 = 5,774.29/x
  3. Step 3: Cross multiply
    9,064.51x = 13,596.76 × 5,774.29
  4. Step 4: Simplify right side
    9,064.51x = 78,511,608.53
  5. Step 5: Solve for x
    x = 78,511,608.53/9,064.51
  6. Step 6: Final answer
    x = 8,661.43

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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.