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Finding the Fourth Proportional to 9,471.96, 13,026.69 and 8,290.98

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Solution

The fourth proportional to 9,471.96, 13,026.69 and 8,290.98 is: 11,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.96 : 13,026.69 = 8,290.98 : x
  2. Step 2: Convert to fraction form
    9,471.96/13,026.69 = 8,290.98/x
  3. Step 3: Cross multiply
    9,471.96x = 13,026.69 × 8,290.98
  4. Step 4: Simplify right side
    9,471.96x = 108,004,026.26
  5. Step 5: Solve for x
    x = 108,004,026.26/9,471.96
  6. Step 6: Final answer
    x = 11,402.50

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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.