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Finding the Fourth Proportional to 9,357.86, 14,037.39 and 2,783.49

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Solution

The fourth proportional to 9,357.86, 14,037.39 and 2,783.49 is: 4,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.86 : 14,037.39 = 2,783.49 : x
  2. Step 2: Convert to fraction form
    9,357.86/14,037.39 = 2,783.49/x
  3. Step 3: Cross multiply
    9,357.86x = 14,037.39 × 2,783.49
  4. Step 4: Simplify right side
    9,357.86x = 39,072,934.69
  5. Step 5: Solve for x
    x = 39,072,934.69/9,357.86
  6. Step 6: Final answer
    x = 4,175.41

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