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Finding the Fourth Proportional to 9,259.63, 12,768.11 and 5,898.67

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Solution

The fourth proportional to 9,259.63, 12,768.11 and 5,898.67 is: 8,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.63 : 12,768.11 = 5,898.67 : x
  2. Step 2: Convert to fraction form
    9,259.63/12,768.11 = 5,898.67/x
  3. Step 3: Cross multiply
    9,259.63x = 12,768.11 × 5,898.67
  4. Step 4: Simplify right side
    9,259.63x = 75,314,837.92
  5. Step 5: Solve for x
    x = 75,314,837.92/9,259.63
  6. Step 6: Final answer
    x = 8,133.68

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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.