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Finding the Fourth Proportional to 9,233.75, 12,738.21 and 6,714.75

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Solution

The fourth proportional to 9,233.75, 12,738.21 and 6,714.75 is: 9,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.75 : 12,738.21 = 6,714.75 : x
  2. Step 2: Convert to fraction form
    9,233.75/12,738.21 = 6,714.75/x
  3. Step 3: Cross multiply
    9,233.75x = 12,738.21 × 6,714.75
  4. Step 4: Simplify right side
    9,233.75x = 85,533,895.60
  5. Step 5: Solve for x
    x = 85,533,895.60/9,233.75
  6. Step 6: Final answer
    x = 9,263.19

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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.