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Finding the Fourth Proportional to 9,738.90, 14,596.81 and 4,469.47

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Solution

The fourth proportional to 9,738.90, 14,596.81 and 4,469.47 is: 6,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.90 : 14,596.81 = 4,469.47 : x
  2. Step 2: Convert to fraction form
    9,738.90/14,596.81 = 4,469.47/x
  3. Step 3: Cross multiply
    9,738.90x = 14,596.81 × 4,469.47
  4. Step 4: Simplify right side
    9,738.90x = 65,239,931.41
  5. Step 5: Solve for x
    x = 65,239,931.41/9,738.90
  6. Step 6: Final answer
    x = 6,698.90

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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.