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Finding the Fourth Proportional to 9,399.06, 12,959.48 and 6,042

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Solution

The fourth proportional to 9,399.06, 12,959.48 and 6,042 is: 8,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.06 : 12,959.48 = 6,042 : x
  2. Step 2: Convert to fraction form
    9,399.06/12,959.48 = 6,042/x
  3. Step 3: Cross multiply
    9,399.06x = 12,959.48 × 6,042
  4. Step 4: Simplify right side
    9,399.06x = 78,301,178.16
  5. Step 5: Solve for x
    x = 78,301,178.16/9,399.06
  6. Step 6: Final answer
    x = 8,330.75

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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.