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Finding the Fourth Proportional to 6,341.36, 9,512.95 and 1,959.20

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Solution

The fourth proportional to 6,341.36, 9,512.95 and 1,959.20 is: 2,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.36 : 9,512.95 = 1,959.20 : x
  2. Step 2: Convert to fraction form
    6,341.36/9,512.95 = 1,959.20/x
  3. Step 3: Cross multiply
    6,341.36x = 9,512.95 × 1,959.20
  4. Step 4: Simplify right side
    6,341.36x = 18,637,771.64
  5. Step 5: Solve for x
    x = 18,637,771.64/6,341.36
  6. Step 6: Final answer
    x = 2,939.08

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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.