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Finding the Fourth Proportional to 9,384.32, 12,950.52 and 5,135.75

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Solution

The fourth proportional to 9,384.32, 12,950.52 and 5,135.75 is: 7,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.32 : 12,950.52 = 5,135.75 : x
  2. Step 2: Convert to fraction form
    9,384.32/12,950.52 = 5,135.75/x
  3. Step 3: Cross multiply
    9,384.32x = 12,950.52 × 5,135.75
  4. Step 4: Simplify right side
    9,384.32x = 66,510,633.09
  5. Step 5: Solve for x
    x = 66,510,633.09/9,384.32
  6. Step 6: Final answer
    x = 7,087.42

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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.