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Finding the Fourth Proportional to 9,609.22, 14,413.65 and 3,367.50

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Solution

The fourth proportional to 9,609.22, 14,413.65 and 3,367.50 is: 5,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.22 : 14,413.65 = 3,367.50 : x
  2. Step 2: Convert to fraction form
    9,609.22/14,413.65 = 3,367.50/x
  3. Step 3: Cross multiply
    9,609.22x = 14,413.65 × 3,367.50
  4. Step 4: Simplify right side
    9,609.22x = 48,537,966.38
  5. Step 5: Solve for x
    x = 48,537,966.38/9,609.22
  6. Step 6: Final answer
    x = 5,051.19

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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.