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Finding the Fourth Proportional to 9,657.30, 14,486.22 and 3,416.43

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Solution

The fourth proportional to 9,657.30, 14,486.22 and 3,416.43 is: 5,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.30 : 14,486.22 = 3,416.43 : x
  2. Step 2: Convert to fraction form
    9,657.30/14,486.22 = 3,416.43/x
  3. Step 3: Cross multiply
    9,657.30x = 14,486.22 × 3,416.43
  4. Step 4: Simplify right side
    9,657.30x = 49,491,156.59
  5. Step 5: Solve for x
    x = 49,491,156.59/9,657.30
  6. Step 6: Final answer
    x = 5,124.74

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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.