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Finding the Fourth Proportional to 6,744.71, 9,303.05 and 4,475.63

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Solution

The fourth proportional to 6,744.71, 9,303.05 and 4,475.63 is: 6,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.71 : 9,303.05 = 4,475.63 : x
  2. Step 2: Convert to fraction form
    6,744.71/9,303.05 = 4,475.63/x
  3. Step 3: Cross multiply
    6,744.71x = 9,303.05 × 4,475.63
  4. Step 4: Simplify right side
    6,744.71x = 41,636,987.29
  5. Step 5: Solve for x
    x = 41,636,987.29/6,744.71
  6. Step 6: Final answer
    x = 6,173.28

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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.