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Finding the Fourth Proportional to 9,284.72, 13,927.74 and 3,738.08

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Solution

The fourth proportional to 9,284.72, 13,927.74 and 3,738.08 is: 5,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.72 : 13,927.74 = 3,738.08 : x
  2. Step 2: Convert to fraction form
    9,284.72/13,927.74 = 3,738.08/x
  3. Step 3: Cross multiply
    9,284.72x = 13,927.74 × 3,738.08
  4. Step 4: Simplify right side
    9,284.72x = 52,063,006.34
  5. Step 5: Solve for x
    x = 52,063,006.34/9,284.72
  6. Step 6: Final answer
    x = 5,607.39

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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.