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Finding the Fourth Proportional to 9,274.74, 12,792.17 and 6,442.12

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Solution

The fourth proportional to 9,274.74, 12,792.17 and 6,442.12 is: 8,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.74 : 12,792.17 = 6,442.12 : x
  2. Step 2: Convert to fraction form
    9,274.74/12,792.17 = 6,442.12/x
  3. Step 3: Cross multiply
    9,274.74x = 12,792.17 × 6,442.12
  4. Step 4: Simplify right side
    9,274.74x = 82,408,630.01
  5. Step 5: Solve for x
    x = 82,408,630.01/9,274.74
  6. Step 6: Final answer
    x = 8,885.28

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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.