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Finding the Fourth Proportional to 9,457.20, 13,049.78 and 5,477.49

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Solution

The fourth proportional to 9,457.20, 13,049.78 and 5,477.49 is: 7,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.20 : 13,049.78 = 5,477.49 : x
  2. Step 2: Convert to fraction form
    9,457.20/13,049.78 = 5,477.49/x
  3. Step 3: Cross multiply
    9,457.20x = 13,049.78 × 5,477.49
  4. Step 4: Simplify right side
    9,457.20x = 71,480,012.06
  5. Step 5: Solve for x
    x = 71,480,012.06/9,457.20
  6. Step 6: Final answer
    x = 7,558.26

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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.