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Finding the Fourth Proportional to 6,848.89, 9,448.22 and 4,457.99

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Solution

The fourth proportional to 6,848.89, 9,448.22 and 4,457.99 is: 6,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.89 : 9,448.22 = 4,457.99 : x
  2. Step 2: Convert to fraction form
    6,848.89/9,448.22 = 4,457.99/x
  3. Step 3: Cross multiply
    6,848.89x = 9,448.22 × 4,457.99
  4. Step 4: Simplify right side
    6,848.89x = 42,120,039.36
  5. Step 5: Solve for x
    x = 42,120,039.36/6,848.89
  6. Step 6: Final answer
    x = 6,149.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.