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Finding the Fourth Proportional to 9,662.67, 14,497.28 and 6,100.65

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Solution

The fourth proportional to 9,662.67, 14,497.28 and 6,100.65 is: 9,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.67 : 14,497.28 = 6,100.65 : x
  2. Step 2: Convert to fraction form
    9,662.67/14,497.28 = 6,100.65/x
  3. Step 3: Cross multiply
    9,662.67x = 14,497.28 × 6,100.65
  4. Step 4: Simplify right side
    9,662.67x = 88,442,831.23
  5. Step 5: Solve for x
    x = 88,442,831.23/9,662.67
  6. Step 6: Final answer
    x = 9,153.04

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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.