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Finding the Fourth Proportional to 6,433.47, 9,653.21 and 2,276.63

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Solution

The fourth proportional to 6,433.47, 9,653.21 and 2,276.63 is: 3,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.47 : 9,653.21 = 2,276.63 : x
  2. Step 2: Convert to fraction form
    6,433.47/9,653.21 = 2,276.63/x
  3. Step 3: Cross multiply
    6,433.47x = 9,653.21 × 2,276.63
  4. Step 4: Simplify right side
    6,433.47x = 21,976,727.83
  5. Step 5: Solve for x
    x = 21,976,727.83/6,433.47
  6. Step 6: Final answer
    x = 3,416.00

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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.