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Finding the Fourth Proportional to 9,274.16, 13,903.32 and 3,429.68

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Solution

The fourth proportional to 9,274.16, 13,903.32 and 3,429.68 is: 5,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.16 : 13,903.32 = 3,429.68 : x
  2. Step 2: Convert to fraction form
    9,274.16/13,903.32 = 3,429.68/x
  3. Step 3: Cross multiply
    9,274.16x = 13,903.32 × 3,429.68
  4. Step 4: Simplify right side
    9,274.16x = 47,683,938.54
  5. Step 5: Solve for x
    x = 47,683,938.54/9,274.16
  6. Step 6: Final answer
    x = 5,141.59

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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.