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Finding the Fourth Proportional to 6,525.60, 9,788.28 and 2,141.28

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Solution

The fourth proportional to 6,525.60, 9,788.28 and 2,141.28 is: 3,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.60 : 9,788.28 = 2,141.28 : x
  2. Step 2: Convert to fraction form
    6,525.60/9,788.28 = 2,141.28/x
  3. Step 3: Cross multiply
    6,525.60x = 9,788.28 × 2,141.28
  4. Step 4: Simplify right side
    6,525.60x = 20,959,448.20
  5. Step 5: Solve for x
    x = 20,959,448.20/6,525.60
  6. Step 6: Final answer
    x = 3,211.88

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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.