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Finding the Fourth Proportional to 10,431.63, 14,348.95 and 9,149.20

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Solution

The fourth proportional to 10,431.63, 14,348.95 and 9,149.20 is: 12,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.63 : 14,348.95 = 9,149.20 : x
  2. Step 2: Convert to fraction form
    10,431.63/14,348.95 = 9,149.20/x
  3. Step 3: Cross multiply
    10,431.63x = 14,348.95 × 9,149.20
  4. Step 4: Simplify right side
    10,431.63x = 131,281,413.34
  5. Step 5: Solve for x
    x = 131,281,413.34/10,431.63
  6. Step 6: Final answer
    x = 12,584.94

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