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Finding the Fourth Proportional to 9,816.46, 14,690.67 and 9,408.22

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Solution

The fourth proportional to 9,816.46, 14,690.67 and 9,408.22 is: 14,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.46 : 14,690.67 = 9,408.22 : x
  2. Step 2: Convert to fraction form
    9,816.46/14,690.67 = 9,408.22/x
  3. Step 3: Cross multiply
    9,816.46x = 14,690.67 × 9,408.22
  4. Step 4: Simplify right side
    9,816.46x = 138,213,055.31
  5. Step 5: Solve for x
    x = 138,213,055.31/9,816.46
  6. Step 6: Final answer
    x = 14,079.72

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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.