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Finding the Fourth Proportional to 9,471.13, 14,186.34 and 7,684.16

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Solution

The fourth proportional to 9,471.13, 14,186.34 and 7,684.16 is: 11,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.13 : 14,186.34 = 7,684.16 : x
  2. Step 2: Convert to fraction form
    9,471.13/14,186.34 = 7,684.16/x
  3. Step 3: Cross multiply
    9,471.13x = 14,186.34 × 7,684.16
  4. Step 4: Simplify right side
    9,471.13x = 109,010,144.43
  5. Step 5: Solve for x
    x = 109,010,144.43/9,471.13
  6. Step 6: Final answer
    x = 11,509.73

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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.