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Finding the Fourth Proportional to 9,129.98, 13,697.28 and 2,556.20

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Solution

The fourth proportional to 9,129.98, 13,697.28 and 2,556.20 is: 3,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.98 : 13,697.28 = 2,556.20 : x
  2. Step 2: Convert to fraction form
    9,129.98/13,697.28 = 2,556.20/x
  3. Step 3: Cross multiply
    9,129.98x = 13,697.28 × 2,556.20
  4. Step 4: Simplify right side
    9,129.98x = 35,012,987.14
  5. Step 5: Solve for x
    x = 35,012,987.14/9,129.98
  6. Step 6: Final answer
    x = 3,834.95

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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.