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Finding the Fourth Proportional to 7,184.81, 9,913.50 and 4,351.64

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Solution

The fourth proportional to 7,184.81, 9,913.50 and 4,351.64 is: 6,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.81 : 9,913.50 = 4,351.64 : x
  2. Step 2: Convert to fraction form
    7,184.81/9,913.50 = 4,351.64/x
  3. Step 3: Cross multiply
    7,184.81x = 9,913.50 × 4,351.64
  4. Step 4: Simplify right side
    7,184.81x = 43,139,933.57
  5. Step 5: Solve for x
    x = 43,139,933.57/7,184.81
  6. Step 6: Final answer
    x = 6,004.33

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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.