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Finding the Fourth Proportional to 6,401.26, 9,602.18 and 2,506.58

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Solution

The fourth proportional to 6,401.26, 9,602.18 and 2,506.58 is: 3,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.26 : 9,602.18 = 2,506.58 : x
  2. Step 2: Convert to fraction form
    6,401.26/9,602.18 = 2,506.58/x
  3. Step 3: Cross multiply
    6,401.26x = 9,602.18 × 2,506.58
  4. Step 4: Simplify right side
    6,401.26x = 24,068,632.34
  5. Step 5: Solve for x
    x = 24,068,632.34/6,401.26
  6. Step 6: Final answer
    x = 3,759.98

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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.