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Finding the Fourth Proportional to 9,269.76, 13,900.02 and 3,028.96

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Solution

The fourth proportional to 9,269.76, 13,900.02 and 3,028.96 is: 4,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.76 : 13,900.02 = 3,028.96 : x
  2. Step 2: Convert to fraction form
    9,269.76/13,900.02 = 3,028.96/x
  3. Step 3: Cross multiply
    9,269.76x = 13,900.02 × 3,028.96
  4. Step 4: Simplify right side
    9,269.76x = 42,102,627.63
  5. Step 5: Solve for x
    x = 42,102,627.63/9,269.76
  6. Step 6: Final answer
    x = 4,541.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.