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Finding the Fourth Proportional to 9,689, 14,533.41 and 6,416.73

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Solution

The fourth proportional to 9,689, 14,533.41 and 6,416.73 is: 9,625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689 : 14,533.41 = 6,416.73 : x
  2. Step 2: Convert to fraction form
    9,689/14,533.41 = 6,416.73/x
  3. Step 3: Cross multiply
    9,689x = 14,533.41 × 6,416.73
  4. Step 4: Simplify right side
    9,689x = 93,256,967.95
  5. Step 5: Solve for x
    x = 93,256,967.95/9,689
  6. Step 6: Final answer
    x = 9,625.04

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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.