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Finding the Fourth Proportional to 9,617.69, 14,396.45 and 6,235.94

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Solution

The fourth proportional to 9,617.69, 14,396.45 and 6,235.94 is: 9,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.69 : 14,396.45 = 6,235.94 : x
  2. Step 2: Convert to fraction form
    9,617.69/14,396.45 = 6,235.94/x
  3. Step 3: Cross multiply
    9,617.69x = 14,396.45 × 6,235.94
  4. Step 4: Simplify right side
    9,617.69x = 89,775,295.25
  5. Step 5: Solve for x
    x = 89,775,295.25/9,617.69
  6. Step 6: Final answer
    x = 9,334.40

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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.