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Finding the Fourth Proportional to 6,388.76, 9,580.10 and 2,228.26

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Solution

The fourth proportional to 6,388.76, 9,580.10 and 2,228.26 is: 3,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.76 : 9,580.10 = 2,228.26 : x
  2. Step 2: Convert to fraction form
    6,388.76/9,580.10 = 2,228.26/x
  3. Step 3: Cross multiply
    6,388.76x = 9,580.10 × 2,228.26
  4. Step 4: Simplify right side
    6,388.76x = 21,346,924.11
  5. Step 5: Solve for x
    x = 21,346,924.11/6,388.76
  6. Step 6: Final answer
    x = 3,341.33

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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.