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Finding the Fourth Proportional to 9,893.92, 14,839.28 and 2,967.20

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Solution

The fourth proportional to 9,893.92, 14,839.28 and 2,967.20 is: 4,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.92 : 14,839.28 = 2,967.20 : x
  2. Step 2: Convert to fraction form
    9,893.92/14,839.28 = 2,967.20/x
  3. Step 3: Cross multiply
    9,893.92x = 14,839.28 × 2,967.20
  4. Step 4: Simplify right side
    9,893.92x = 44,031,111.62
  5. Step 5: Solve for x
    x = 44,031,111.62/9,893.92
  6. Step 6: Final answer
    x = 4,450.32

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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.