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Finding the Fourth Proportional to 9,685.04, 14,524.07 and 3,679.81

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Solution

The fourth proportional to 9,685.04, 14,524.07 and 3,679.81 is: 5,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.04 : 14,524.07 = 3,679.81 : x
  2. Step 2: Convert to fraction form
    9,685.04/14,524.07 = 3,679.81/x
  3. Step 3: Cross multiply
    9,685.04x = 14,524.07 × 3,679.81
  4. Step 4: Simplify right side
    9,685.04x = 53,445,818.03
  5. Step 5: Solve for x
    x = 53,445,818.03/9,685.04
  6. Step 6: Final answer
    x = 5,518.39

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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.