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Finding the Fourth Proportional to 9,686.97, 14,524.20 and 4,416.57

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Solution

The fourth proportional to 9,686.97, 14,524.20 and 4,416.57 is: 6,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.97 : 14,524.20 = 4,416.57 : x
  2. Step 2: Convert to fraction form
    9,686.97/14,524.20 = 4,416.57/x
  3. Step 3: Cross multiply
    9,686.97x = 14,524.20 × 4,416.57
  4. Step 4: Simplify right side
    9,686.97x = 64,147,145.99
  5. Step 5: Solve for x
    x = 64,147,145.99/9,686.97
  6. Step 6: Final answer
    x = 6,622.00

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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.