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Finding the Fourth Proportional to 9,388.16, 12,955.62 and 5,409.98

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Solution

The fourth proportional to 9,388.16, 12,955.62 and 5,409.98 is: 7,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.16 : 12,955.62 = 5,409.98 : x
  2. Step 2: Convert to fraction form
    9,388.16/12,955.62 = 5,409.98/x
  3. Step 3: Cross multiply
    9,388.16x = 12,955.62 × 5,409.98
  4. Step 4: Simplify right side
    9,388.16x = 70,089,645.09
  5. Step 5: Solve for x
    x = 70,089,645.09/9,388.16
  6. Step 6: Final answer
    x = 7,465.75

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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.