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Finding the Fourth Proportional to 9,645.75, 14,468.59 and 3,072.47

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Solution

The fourth proportional to 9,645.75, 14,468.59 and 3,072.47 is: 4,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.75 : 14,468.59 = 3,072.47 : x
  2. Step 2: Convert to fraction form
    9,645.75/14,468.59 = 3,072.47/x
  3. Step 3: Cross multiply
    9,645.75x = 14,468.59 × 3,072.47
  4. Step 4: Simplify right side
    9,645.75x = 44,454,240.21
  5. Step 5: Solve for x
    x = 44,454,240.21/9,645.75
  6. Step 6: Final answer
    x = 4,608.69

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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.