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Finding the Fourth Proportional to 9,389.94, 12,959.49 and 5,410.95

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Solution

The fourth proportional to 9,389.94, 12,959.49 and 5,410.95 is: 7,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.94 : 12,959.49 = 5,410.95 : x
  2. Step 2: Convert to fraction form
    9,389.94/12,959.49 = 5,410.95/x
  3. Step 3: Cross multiply
    9,389.94x = 12,959.49 × 5,410.95
  4. Step 4: Simplify right side
    9,389.94x = 70,123,152.42
  5. Step 5: Solve for x
    x = 70,123,152.42/9,389.94
  6. Step 6: Final answer
    x = 7,467.90

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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.