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Finding the Fourth Proportional to 6,303.64, 9,456.12 and 2,411.32

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Solution

The fourth proportional to 6,303.64, 9,456.12 and 2,411.32 is: 3,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.64 : 9,456.12 = 2,411.32 : x
  2. Step 2: Convert to fraction form
    6,303.64/9,456.12 = 2,411.32/x
  3. Step 3: Cross multiply
    6,303.64x = 9,456.12 × 2,411.32
  4. Step 4: Simplify right side
    6,303.64x = 22,801,731.28
  5. Step 5: Solve for x
    x = 22,801,731.28/6,303.64
  6. Step 6: Final answer
    x = 3,617.23

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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.