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Finding the Fourth Proportional to 9,292.02, 13,940.76 and 3,742.50

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Solution

The fourth proportional to 9,292.02, 13,940.76 and 3,742.50 is: 5,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.02 : 13,940.76 = 3,742.50 : x
  2. Step 2: Convert to fraction form
    9,292.02/13,940.76 = 3,742.50/x
  3. Step 3: Cross multiply
    9,292.02x = 13,940.76 × 3,742.50
  4. Step 4: Simplify right side
    9,292.02x = 52,173,339.56
  5. Step 5: Solve for x
    x = 52,173,339.56/9,292.02
  6. Step 6: Final answer
    x = 5,614.86

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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.