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Finding the Fourth Proportional to 9,977.50, 14,958.06 and 4,138.30

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Solution

The fourth proportional to 9,977.50, 14,958.06 and 4,138.30 is: 6,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.50 : 14,958.06 = 4,138.30 : x
  2. Step 2: Convert to fraction form
    9,977.50/14,958.06 = 4,138.30/x
  3. Step 3: Cross multiply
    9,977.50x = 14,958.06 × 4,138.30
  4. Step 4: Simplify right side
    9,977.50x = 61,900,939.70
  5. Step 5: Solve for x
    x = 61,900,939.70/9,977.50
  6. Step 6: Final answer
    x = 6,204.05

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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.