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Finding the Fourth Proportional to 6,133.72, 9,200.40 and 1,516.72

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Solution

The fourth proportional to 6,133.72, 9,200.40 and 1,516.72 is: 2,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.72 : 9,200.40 = 1,516.72 : x
  2. Step 2: Convert to fraction form
    6,133.72/9,200.40 = 1,516.72/x
  3. Step 3: Cross multiply
    6,133.72x = 9,200.40 × 1,516.72
  4. Step 4: Simplify right side
    6,133.72x = 13,954,430.69
  5. Step 5: Solve for x
    x = 13,954,430.69/6,133.72
  6. Step 6: Final answer
    x = 2,275.04

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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.