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Finding the Fourth Proportional to 9,357.64, 14,036.46 and 2,783.82

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Solution

The fourth proportional to 9,357.64, 14,036.46 and 2,783.82 is: 4,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.64 : 14,036.46 = 2,783.82 : x
  2. Step 2: Convert to fraction form
    9,357.64/14,036.46 = 2,783.82/x
  3. Step 3: Cross multiply
    9,357.64x = 14,036.46 × 2,783.82
  4. Step 4: Simplify right side
    9,357.64x = 39,074,978.08
  5. Step 5: Solve for x
    x = 39,074,978.08/9,357.64
  6. Step 6: Final answer
    x = 4,175.73

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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.