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Finding the Fourth Proportional to 9,771.06, 14,639.58 and 8,138.10

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Solution

The fourth proportional to 9,771.06, 14,639.58 and 8,138.10 is: 12,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.06 : 14,639.58 = 8,138.10 : x
  2. Step 2: Convert to fraction form
    9,771.06/14,639.58 = 8,138.10/x
  3. Step 3: Cross multiply
    9,771.06x = 14,639.58 × 8,138.10
  4. Step 4: Simplify right side
    9,771.06x = 119,138,366.00
  5. Step 5: Solve for x
    x = 119,138,366.00/9,771.06
  6. Step 6: Final answer
    x = 12,192.98

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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.