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Finding the Fourth Proportional to 9,152.80, 12,651.60 and 8,427.04

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Solution

The fourth proportional to 9,152.80, 12,651.60 and 8,427.04 is: 11,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.80 : 12,651.60 = 8,427.04 : x
  2. Step 2: Convert to fraction form
    9,152.80/12,651.60 = 8,427.04/x
  3. Step 3: Cross multiply
    9,152.80x = 12,651.60 × 8,427.04
  4. Step 4: Simplify right side
    9,152.80x = 106,615,539.26
  5. Step 5: Solve for x
    x = 106,615,539.26/9,152.80
  6. Step 6: Final answer
    x = 11,648.41

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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.