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Finding the Fourth Proportional to 9,137.45, 13,706.28 and 3,214.51

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Solution

The fourth proportional to 9,137.45, 13,706.28 and 3,214.51 is: 4,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.45 : 13,706.28 = 3,214.51 : x
  2. Step 2: Convert to fraction form
    9,137.45/13,706.28 = 3,214.51/x
  3. Step 3: Cross multiply
    9,137.45x = 13,706.28 × 3,214.51
  4. Step 4: Simplify right side
    9,137.45x = 44,058,939.86
  5. Step 5: Solve for x
    x = 44,058,939.86/9,137.45
  6. Step 6: Final answer
    x = 4,821.80

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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.