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Finding the Fourth Proportional to 9,694.68, 14,543.53 and 4,148.03

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Solution

The fourth proportional to 9,694.68, 14,543.53 and 4,148.03 is: 6,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.68 : 14,543.53 = 4,148.03 : x
  2. Step 2: Convert to fraction form
    9,694.68/14,543.53 = 4,148.03/x
  3. Step 3: Cross multiply
    9,694.68x = 14,543.53 × 4,148.03
  4. Step 4: Simplify right side
    9,694.68x = 60,326,998.75
  5. Step 5: Solve for x
    x = 60,326,998.75/9,694.68
  6. Step 6: Final answer
    x = 6,222.69

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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.