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Finding the Fourth Proportional to 9,142.80, 13,714.20 and 7,830.60

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Solution

The fourth proportional to 9,142.80, 13,714.20 and 7,830.60 is: 11,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.80 : 13,714.20 = 7,830.60 : x
  2. Step 2: Convert to fraction form
    9,142.80/13,714.20 = 7,830.60/x
  3. Step 3: Cross multiply
    9,142.80x = 13,714.20 × 7,830.60
  4. Step 4: Simplify right side
    9,142.80x = 107,390,414.52
  5. Step 5: Solve for x
    x = 107,390,414.52/9,142.80
  6. Step 6: Final answer
    x = 11,745.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.