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Finding the Fourth Proportional to 9,665.22, 14,522.13 and 6,156.81

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Solution

The fourth proportional to 9,665.22, 14,522.13 and 6,156.81 is: 9,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.22 : 14,522.13 = 6,156.81 : x
  2. Step 2: Convert to fraction form
    9,665.22/14,522.13 = 6,156.81/x
  3. Step 3: Cross multiply
    9,665.22x = 14,522.13 × 6,156.81
  4. Step 4: Simplify right side
    9,665.22x = 89,409,922.59
  5. Step 5: Solve for x
    x = 89,409,922.59/9,665.22
  6. Step 6: Final answer
    x = 9,250.69

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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.