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Finding the Fourth Proportional to 6,470.47, 8,924.12 and 4,199.33

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Solution

The fourth proportional to 6,470.47, 8,924.12 and 4,199.33 is: 5,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.47 : 8,924.12 = 4,199.33 : x
  2. Step 2: Convert to fraction form
    6,470.47/8,924.12 = 4,199.33/x
  3. Step 3: Cross multiply
    6,470.47x = 8,924.12 × 4,199.33
  4. Step 4: Simplify right side
    6,470.47x = 37,475,341.90
  5. Step 5: Solve for x
    x = 37,475,341.90/6,470.47
  6. Step 6: Final answer
    x = 5,791.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.