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Finding the Fourth Proportional to 9,388.09, 12,956.19 and 5,409.46

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Solution

The fourth proportional to 9,388.09, 12,956.19 and 5,409.46 is: 7,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.09 : 12,956.19 = 5,409.46 : x
  2. Step 2: Convert to fraction form
    9,388.09/12,956.19 = 5,409.46/x
  3. Step 3: Cross multiply
    9,388.09x = 12,956.19 × 5,409.46
  4. Step 4: Simplify right side
    9,388.09x = 70,085,914.59
  5. Step 5: Solve for x
    x = 70,085,914.59/9,388.09
  6. Step 6: Final answer
    x = 7,465.41

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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.