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Finding the Fourth Proportional to 9,543.65, 14,316.35 and 3,998.67

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Solution

The fourth proportional to 9,543.65, 14,316.35 and 3,998.67 is: 5,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.65 : 14,316.35 = 3,998.67 : x
  2. Step 2: Convert to fraction form
    9,543.65/14,316.35 = 3,998.67/x
  3. Step 3: Cross multiply
    9,543.65x = 14,316.35 × 3,998.67
  4. Step 4: Simplify right side
    9,543.65x = 57,246,339.26
  5. Step 5: Solve for x
    x = 57,246,339.26/9,543.65
  6. Step 6: Final answer
    x = 5,998.37

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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.