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Finding the Fourth Proportional to 9,357, 14,037.81 and 2,783.16

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Solution

The fourth proportional to 9,357, 14,037.81 and 2,783.16 is: 4,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357 : 14,037.81 = 2,783.16 : x
  2. Step 2: Convert to fraction form
    9,357/14,037.81 = 2,783.16/x
  3. Step 3: Cross multiply
    9,357x = 14,037.81 × 2,783.16
  4. Step 4: Simplify right side
    9,357x = 39,069,471.28
  5. Step 5: Solve for x
    x = 39,069,471.28/9,357
  6. Step 6: Final answer
    x = 4,175.43

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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.