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Finding the Fourth Proportional to 9,367.16, 12,922.62 and 5,639

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Solution

The fourth proportional to 9,367.16, 12,922.62 and 5,639 is: 7,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.16 : 12,922.62 = 5,639 : x
  2. Step 2: Convert to fraction form
    9,367.16/12,922.62 = 5,639/x
  3. Step 3: Cross multiply
    9,367.16x = 12,922.62 × 5,639
  4. Step 4: Simplify right side
    9,367.16x = 72,870,654.18
  5. Step 5: Solve for x
    x = 72,870,654.18/9,367.16
  6. Step 6: Final answer
    x = 7,779.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.