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Finding the Fourth Proportional to 6,298.64, 9,448.60 and 2,406.32

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Solution

The fourth proportional to 6,298.64, 9,448.60 and 2,406.32 is: 3,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.64 : 9,448.60 = 2,406.32 : x
  2. Step 2: Convert to fraction form
    6,298.64/9,448.60 = 2,406.32/x
  3. Step 3: Cross multiply
    6,298.64x = 9,448.60 × 2,406.32
  4. Step 4: Simplify right side
    6,298.64x = 22,736,355.15
  5. Step 5: Solve for x
    x = 22,736,355.15/6,298.64
  6. Step 6: Final answer
    x = 3,609.72

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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.