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Finding the Fourth Proportional to 9,471.40, 14,203.26 and 3,313.96

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Solution

The fourth proportional to 9,471.40, 14,203.26 and 3,313.96 is: 4,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.40 : 14,203.26 = 3,313.96 : x
  2. Step 2: Convert to fraction form
    9,471.40/14,203.26 = 3,313.96/x
  3. Step 3: Cross multiply
    9,471.40x = 14,203.26 × 3,313.96
  4. Step 4: Simplify right side
    9,471.40x = 47,069,035.51
  5. Step 5: Solve for x
    x = 47,069,035.51/9,471.40
  6. Step 6: Final answer
    x = 4,969.60

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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.