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Finding the Fourth Proportional to 9,558.80, 14,312.49 and 7,796.54

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Solution

The fourth proportional to 9,558.80, 14,312.49 and 7,796.54 is: 11,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.80 : 14,312.49 = 7,796.54 : x
  2. Step 2: Convert to fraction form
    9,558.80/14,312.49 = 7,796.54/x
  3. Step 3: Cross multiply
    9,558.80x = 14,312.49 × 7,796.54
  4. Step 4: Simplify right side
    9,558.80x = 111,587,829.22
  5. Step 5: Solve for x
    x = 111,587,829.22/9,558.80
  6. Step 6: Final answer
    x = 11,673.84

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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.