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Finding the Fourth Proportional to 9,679.34, 14,527.91 and 5,988.77

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Solution

The fourth proportional to 9,679.34, 14,527.91 and 5,988.77 is: 8,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.34 : 14,527.91 = 5,988.77 : x
  2. Step 2: Convert to fraction form
    9,679.34/14,527.91 = 5,988.77/x
  3. Step 3: Cross multiply
    9,679.34x = 14,527.91 × 5,988.77
  4. Step 4: Simplify right side
    9,679.34x = 87,004,362.86
  5. Step 5: Solve for x
    x = 87,004,362.86/9,679.34
  6. Step 6: Final answer
    x = 8,988.67

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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.