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Finding the Fourth Proportional to 6,706.19, 9,254.54 and 3,722.50

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Solution

The fourth proportional to 6,706.19, 9,254.54 and 3,722.50 is: 5,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.19 : 9,254.54 = 3,722.50 : x
  2. Step 2: Convert to fraction form
    6,706.19/9,254.54 = 3,722.50/x
  3. Step 3: Cross multiply
    6,706.19x = 9,254.54 × 3,722.50
  4. Step 4: Simplify right side
    6,706.19x = 34,450,025.15
  5. Step 5: Solve for x
    x = 34,450,025.15/6,706.19
  6. Step 6: Final answer
    x = 5,137.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.