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Finding the Fourth Proportional to 9,407.03, 12,980.34 and 5,427.41

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Solution

The fourth proportional to 9,407.03, 12,980.34 and 5,427.41 is: 7,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.03 : 12,980.34 = 5,427.41 : x
  2. Step 2: Convert to fraction form
    9,407.03/12,980.34 = 5,427.41/x
  3. Step 3: Cross multiply
    9,407.03x = 12,980.34 × 5,427.41
  4. Step 4: Simplify right side
    9,407.03x = 70,449,627.12
  5. Step 5: Solve for x
    x = 70,449,627.12/9,407.03
  6. Step 6: Final answer
    x = 7,489.04

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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.