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Finding the Fourth Proportional to 9,415.34, 14,122.24 and 3,175.22

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Solution

The fourth proportional to 9,415.34, 14,122.24 and 3,175.22 is: 4,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.34 : 14,122.24 = 3,175.22 : x
  2. Step 2: Convert to fraction form
    9,415.34/14,122.24 = 3,175.22/x
  3. Step 3: Cross multiply
    9,415.34x = 14,122.24 × 3,175.22
  4. Step 4: Simplify right side
    9,415.34x = 44,841,218.89
  5. Step 5: Solve for x
    x = 44,841,218.89/9,415.34
  6. Step 6: Final answer
    x = 4,762.57

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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.