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Finding the Fourth Proportional to 6,409.60, 9,621.60 and 3,486.40

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Solution

The fourth proportional to 6,409.60, 9,621.60 and 3,486.40 is: 5,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.60 : 9,621.60 = 3,486.40 : x
  2. Step 2: Convert to fraction form
    6,409.60/9,621.60 = 3,486.40/x
  3. Step 3: Cross multiply
    6,409.60x = 9,621.60 × 3,486.40
  4. Step 4: Simplify right side
    6,409.60x = 33,544,746.24
  5. Step 5: Solve for x
    x = 33,544,746.24/6,409.60
  6. Step 6: Final answer
    x = 5,233.52

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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.