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Finding the Fourth Proportional to 9,389.91, 12,959.61 and 5,410.35

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Solution

The fourth proportional to 9,389.91, 12,959.61 and 5,410.35 is: 7,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.91 : 12,959.61 = 5,410.35 : x
  2. Step 2: Convert to fraction form
    9,389.91/12,959.61 = 5,410.35/x
  3. Step 3: Cross multiply
    9,389.91x = 12,959.61 × 5,410.35
  4. Step 4: Simplify right side
    9,389.91x = 70,116,025.96
  5. Step 5: Solve for x
    x = 70,116,025.96/9,389.91
  6. Step 6: Final answer
    x = 7,467.17

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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.