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Finding the Fourth Proportional to 9,471.32, 14,191.27 and 5,762.33

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Solution

The fourth proportional to 9,471.32, 14,191.27 and 5,762.33 is: 8,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.32 : 14,191.27 = 5,762.33 : x
  2. Step 2: Convert to fraction form
    9,471.32/14,191.27 = 5,762.33/x
  3. Step 3: Cross multiply
    9,471.32x = 14,191.27 × 5,762.33
  4. Step 4: Simplify right side
    9,471.32x = 81,774,780.86
  5. Step 5: Solve for x
    x = 81,774,780.86/9,471.32
  6. Step 6: Final answer
    x = 8,633.94

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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.