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Finding the Fourth Proportional to 10,129.80, 14,025.78 and 9,352.20

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Solution

The fourth proportional to 10,129.80, 14,025.78 and 9,352.20 is: 12,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.80 : 14,025.78 = 9,352.20 : x
  2. Step 2: Convert to fraction form
    10,129.80/14,025.78 = 9,352.20/x
  3. Step 3: Cross multiply
    10,129.80x = 14,025.78 × 9,352.20
  4. Step 4: Simplify right side
    10,129.80x = 131,171,899.72
  5. Step 5: Solve for x
    x = 131,171,899.72/10,129.80
  6. Step 6: Final answer
    x = 12,949.11

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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.