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Finding the Fourth Proportional to 9,442.10, 14,163.47 and 2,868.27

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Solution

The fourth proportional to 9,442.10, 14,163.47 and 2,868.27 is: 4,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.10 : 14,163.47 = 2,868.27 : x
  2. Step 2: Convert to fraction form
    9,442.10/14,163.47 = 2,868.27/x
  3. Step 3: Cross multiply
    9,442.10x = 14,163.47 × 2,868.27
  4. Step 4: Simplify right side
    9,442.10x = 40,624,641.76
  5. Step 5: Solve for x
    x = 40,624,641.76/9,442.10
  6. Step 6: Final answer
    x = 4,302.50

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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.