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Finding the Fourth Proportional to 6,401.06, 8,833.65 and 3,748.22

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Solution

The fourth proportional to 6,401.06, 8,833.65 and 3,748.22 is: 5,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.06 : 8,833.65 = 3,748.22 : x
  2. Step 2: Convert to fraction form
    6,401.06/8,833.65 = 3,748.22/x
  3. Step 3: Cross multiply
    6,401.06x = 8,833.65 × 3,748.22
  4. Step 4: Simplify right side
    6,401.06x = 33,110,463.60
  5. Step 5: Solve for x
    x = 33,110,463.60/6,401.06
  6. Step 6: Final answer
    x = 5,172.65

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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.