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Finding the Fourth Proportional to 9,497.94, 14,246.48 and 6,379.26

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Solution

The fourth proportional to 9,497.94, 14,246.48 and 6,379.26 is: 9,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.94 : 14,246.48 = 6,379.26 : x
  2. Step 2: Convert to fraction form
    9,497.94/14,246.48 = 6,379.26/x
  3. Step 3: Cross multiply
    9,497.94x = 14,246.48 × 6,379.26
  4. Step 4: Simplify right side
    9,497.94x = 90,881,896.88
  5. Step 5: Solve for x
    x = 90,881,896.88/9,497.94
  6. Step 6: Final answer
    x = 9,568.60

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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.