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Finding the Fourth Proportional to 9,138.12, 13,731.84 and 4,981.20

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Solution

The fourth proportional to 9,138.12, 13,731.84 and 4,981.20 is: 7,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.12 : 13,731.84 = 4,981.20 : x
  2. Step 2: Convert to fraction form
    9,138.12/13,731.84 = 4,981.20/x
  3. Step 3: Cross multiply
    9,138.12x = 13,731.84 × 4,981.20
  4. Step 4: Simplify right side
    9,138.12x = 68,401,041.41
  5. Step 5: Solve for x
    x = 68,401,041.41/9,138.12
  6. Step 6: Final answer
    x = 7,485.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.