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Finding the Fourth Proportional to 9,669.22, 13,343.16 and 5,477.56

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Solution

The fourth proportional to 9,669.22, 13,343.16 and 5,477.56 is: 7,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.22 : 13,343.16 = 5,477.56 : x
  2. Step 2: Convert to fraction form
    9,669.22/13,343.16 = 5,477.56/x
  3. Step 3: Cross multiply
    9,669.22x = 13,343.16 × 5,477.56
  4. Step 4: Simplify right side
    9,669.22x = 73,087,959.49
  5. Step 5: Solve for x
    x = 73,087,959.49/9,669.22
  6. Step 6: Final answer
    x = 7,558.83

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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.