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Finding the Fourth Proportional to 9,427, 14,140.50 and 2,501.56

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Solution

The fourth proportional to 9,427, 14,140.50 and 2,501.56 is: 3,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427 : 14,140.50 = 2,501.56 : x
  2. Step 2: Convert to fraction form
    9,427/14,140.50 = 2,501.56/x
  3. Step 3: Cross multiply
    9,427x = 14,140.50 × 2,501.56
  4. Step 4: Simplify right side
    9,427x = 35,373,309.18
  5. Step 5: Solve for x
    x = 35,373,309.18/9,427
  6. Step 6: Final answer
    x = 3,752.34

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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.