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Finding the Fourth Proportional to 9,543.94, 14,316.32 and 2,618.44

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Solution

The fourth proportional to 9,543.94, 14,316.32 and 2,618.44 is: 3,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.94 : 14,316.32 = 2,618.44 : x
  2. Step 2: Convert to fraction form
    9,543.94/14,316.32 = 2,618.44/x
  3. Step 3: Cross multiply
    9,543.94x = 14,316.32 × 2,618.44
  4. Step 4: Simplify right side
    9,543.94x = 37,486,395.70
  5. Step 5: Solve for x
    x = 37,486,395.70/9,543.94
  6. Step 6: Final answer
    x = 3,927.77

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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.