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Finding the Fourth Proportional to 9,297.92, 13,946.88 and 3,456

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Solution

The fourth proportional to 9,297.92, 13,946.88 and 3,456 is: 5,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.92 : 13,946.88 = 3,456 : x
  2. Step 2: Convert to fraction form
    9,297.92/13,946.88 = 3,456/x
  3. Step 3: Cross multiply
    9,297.92x = 13,946.88 × 3,456
  4. Step 4: Simplify right side
    9,297.92x = 48,200,417.28
  5. Step 5: Solve for x
    x = 48,200,417.28/9,297.92
  6. Step 6: Final answer
    x = 5,184.00

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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.