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Finding the Fourth Proportional to 6,444.63, 9,665.73 and 2,284.47

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Solution

The fourth proportional to 6,444.63, 9,665.73 and 2,284.47 is: 3,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.63 : 9,665.73 = 2,284.47 : x
  2. Step 2: Convert to fraction form
    6,444.63/9,665.73 = 2,284.47/x
  3. Step 3: Cross multiply
    6,444.63x = 9,665.73 × 2,284.47
  4. Step 4: Simplify right side
    6,444.63x = 22,081,070.21
  5. Step 5: Solve for x
    x = 22,081,070.21/6,444.63
  6. Step 6: Final answer
    x = 3,426.27

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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.