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Finding the Fourth Proportional to 6,326.36, 9,492.78 and 3,407.48

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Solution

The fourth proportional to 6,326.36, 9,492.78 and 3,407.48 is: 5,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.36 : 9,492.78 = 3,407.48 : x
  2. Step 2: Convert to fraction form
    6,326.36/9,492.78 = 3,407.48/x
  3. Step 3: Cross multiply
    6,326.36x = 9,492.78 × 3,407.48
  4. Step 4: Simplify right side
    6,326.36x = 32,346,457.99
  5. Step 5: Solve for x
    x = 32,346,457.99/6,326.36
  6. Step 6: Final answer
    x = 5,112.97

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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.