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Finding the Fourth Proportional to 9,384.36, 12,950.40 and 5,192.52

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Solution

The fourth proportional to 9,384.36, 12,950.40 and 5,192.52 is: 7,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.36 : 12,950.40 = 5,192.52 : x
  2. Step 2: Convert to fraction form
    9,384.36/12,950.40 = 5,192.52/x
  3. Step 3: Cross multiply
    9,384.36x = 12,950.40 × 5,192.52
  4. Step 4: Simplify right side
    9,384.36x = 67,245,211.01
  5. Step 5: Solve for x
    x = 67,245,211.01/9,384.36
  6. Step 6: Final answer
    x = 7,165.67

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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.