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Finding the Fourth Proportional to 6,274.17, 9,408.51 and 2,113.06

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Solution

The fourth proportional to 6,274.17, 9,408.51 and 2,113.06 is: 3,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.17 : 9,408.51 = 2,113.06 : x
  2. Step 2: Convert to fraction form
    6,274.17/9,408.51 = 2,113.06/x
  3. Step 3: Cross multiply
    6,274.17x = 9,408.51 × 2,113.06
  4. Step 4: Simplify right side
    6,274.17x = 19,880,746.14
  5. Step 5: Solve for x
    x = 19,880,746.14/6,274.17
  6. Step 6: Final answer
    x = 3,168.67

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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.