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Finding the Fourth Proportional to 9,898.32, 14,838.84 and 3,738

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Solution

The fourth proportional to 9,898.32, 14,838.84 and 3,738 is: 5,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.32 : 14,838.84 = 3,738 : x
  2. Step 2: Convert to fraction form
    9,898.32/14,838.84 = 3,738/x
  3. Step 3: Cross multiply
    9,898.32x = 14,838.84 × 3,738
  4. Step 4: Simplify right side
    9,898.32x = 55,467,583.92
  5. Step 5: Solve for x
    x = 55,467,583.92/9,898.32
  6. Step 6: Final answer
    x = 5,603.74

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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.