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Finding the Fourth Proportional to 9,502.85, 13,118.61 and 5,968.01

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Solution

The fourth proportional to 9,502.85, 13,118.61 and 5,968.01 is: 8,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.85 : 13,118.61 = 5,968.01 : x
  2. Step 2: Convert to fraction form
    9,502.85/13,118.61 = 5,968.01/x
  3. Step 3: Cross multiply
    9,502.85x = 13,118.61 × 5,968.01
  4. Step 4: Simplify right side
    9,502.85x = 78,291,930.07
  5. Step 5: Solve for x
    x = 78,291,930.07/9,502.85
  6. Step 6: Final answer
    x = 8,238.79

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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.