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Finding the Fourth Proportional to 9,448.75, 14,175.66 and 8,415.85

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Solution

The fourth proportional to 9,448.75, 14,175.66 and 8,415.85 is: 12,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.75 : 14,175.66 = 8,415.85 : x
  2. Step 2: Convert to fraction form
    9,448.75/14,175.66 = 8,415.85/x
  3. Step 3: Cross multiply
    9,448.75x = 14,175.66 × 8,415.85
  4. Step 4: Simplify right side
    9,448.75x = 119,300,228.21
  5. Step 5: Solve for x
    x = 119,300,228.21/9,448.75
  6. Step 6: Final answer
    x = 12,626.03

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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.