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Finding the Fourth Proportional to 6,501.94, 9,751.08 and 2,341.48

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Solution

The fourth proportional to 6,501.94, 9,751.08 and 2,341.48 is: 3,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.94 : 9,751.08 = 2,341.48 : x
  2. Step 2: Convert to fraction form
    6,501.94/9,751.08 = 2,341.48/x
  3. Step 3: Cross multiply
    6,501.94x = 9,751.08 × 2,341.48
  4. Step 4: Simplify right side
    6,501.94x = 22,831,958.80
  5. Step 5: Solve for x
    x = 22,831,958.80/6,501.94
  6. Step 6: Final answer
    x = 3,511.56

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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.