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Finding the Fourth Proportional to 9,130.22, 13,697.64 and 2,556.44

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Solution

The fourth proportional to 9,130.22, 13,697.64 and 2,556.44 is: 3,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.22 : 13,697.64 = 2,556.44 : x
  2. Step 2: Convert to fraction form
    9,130.22/13,697.64 = 2,556.44/x
  3. Step 3: Cross multiply
    9,130.22x = 13,697.64 × 2,556.44
  4. Step 4: Simplify right side
    9,130.22x = 35,017,126.31
  5. Step 5: Solve for x
    x = 35,017,126.31/9,130.22
  6. Step 6: Final answer
    x = 3,835.30

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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.