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Finding the Fourth Proportional to 9,406.19, 12,980.59 and 5,427.34

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Solution

The fourth proportional to 9,406.19, 12,980.59 and 5,427.34 is: 7,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.19 : 12,980.59 = 5,427.34 : x
  2. Step 2: Convert to fraction form
    9,406.19/12,980.59 = 5,427.34/x
  3. Step 3: Cross multiply
    9,406.19x = 12,980.59 × 5,427.34
  4. Step 4: Simplify right side
    9,406.19x = 70,450,029.31
  5. Step 5: Solve for x
    x = 70,450,029.31/9,406.19
  6. Step 6: Final answer
    x = 7,489.75

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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.