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Finding the Fourth Proportional to 9,486.69, 14,232.15 and 2,913.54

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Solution

The fourth proportional to 9,486.69, 14,232.15 and 2,913.54 is: 4,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.69 : 14,232.15 = 2,913.54 : x
  2. Step 2: Convert to fraction form
    9,486.69/14,232.15 = 2,913.54/x
  3. Step 3: Cross multiply
    9,486.69x = 14,232.15 × 2,913.54
  4. Step 4: Simplify right side
    9,486.69x = 41,465,938.31
  5. Step 5: Solve for x
    x = 41,465,938.31/9,486.69
  6. Step 6: Final answer
    x = 4,370.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.