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Finding the Fourth Proportional to 6,451.72, 9,637.54 and 4,682.68

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Solution

The fourth proportional to 6,451.72, 9,637.54 and 4,682.68 is: 6,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.72 : 9,637.54 = 4,682.68 : x
  2. Step 2: Convert to fraction form
    6,451.72/9,637.54 = 4,682.68/x
  3. Step 3: Cross multiply
    6,451.72x = 9,637.54 × 4,682.68
  4. Step 4: Simplify right side
    6,451.72x = 45,129,515.81
  5. Step 5: Solve for x
    x = 45,129,515.81/6,451.72
  6. Step 6: Final answer
    x = 6,994.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.