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Finding the Fourth Proportional to 9,636.36, 14,456.50 and 5,478.36

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Solution

The fourth proportional to 9,636.36, 14,456.50 and 5,478.36 is: 8,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.36 : 14,456.50 = 5,478.36 : x
  2. Step 2: Convert to fraction form
    9,636.36/14,456.50 = 5,478.36/x
  3. Step 3: Cross multiply
    9,636.36x = 14,456.50 × 5,478.36
  4. Step 4: Simplify right side
    9,636.36x = 79,197,911.34
  5. Step 5: Solve for x
    x = 79,197,911.34/9,636.36
  6. Step 6: Final answer
    x = 8,218.65

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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.