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Finding the Fourth Proportional to 9,657.18, 14,461.26 and 8,093.07

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Solution

The fourth proportional to 9,657.18, 14,461.26 and 8,093.07 is: 12,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.18 : 14,461.26 = 8,093.07 : x
  2. Step 2: Convert to fraction form
    9,657.18/14,461.26 = 8,093.07/x
  3. Step 3: Cross multiply
    9,657.18x = 14,461.26 × 8,093.07
  4. Step 4: Simplify right side
    9,657.18x = 117,035,989.47
  5. Step 5: Solve for x
    x = 117,035,989.47/9,657.18
  6. Step 6: Final answer
    x = 12,119.06

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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.