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Finding the Fourth Proportional to 9,409.06, 12,984.95 and 5,376.20

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Solution

The fourth proportional to 9,409.06, 12,984.95 and 5,376.20 is: 7,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.06 : 12,984.95 = 5,376.20 : x
  2. Step 2: Convert to fraction form
    9,409.06/12,984.95 = 5,376.20/x
  3. Step 3: Cross multiply
    9,409.06x = 12,984.95 × 5,376.20
  4. Step 4: Simplify right side
    9,409.06x = 69,809,661.31
  5. Step 5: Solve for x
    x = 69,809,661.31/9,409.06
  6. Step 6: Final answer
    x = 7,419.41

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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.