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Finding the Fourth Proportional to 9,797.33, 14,698.02 and 4,457.96

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Solution

The fourth proportional to 9,797.33, 14,698.02 and 4,457.96 is: 6,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.33 : 14,698.02 = 4,457.96 : x
  2. Step 2: Convert to fraction form
    9,797.33/14,698.02 = 4,457.96/x
  3. Step 3: Cross multiply
    9,797.33x = 14,698.02 × 4,457.96
  4. Step 4: Simplify right side
    9,797.33x = 65,523,185.24
  5. Step 5: Solve for x
    x = 65,523,185.24/9,797.33
  6. Step 6: Final answer
    x = 6,687.86

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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.