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Finding the Fourth Proportional to 9,357.10, 14,037.95 and 2,783.25

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Solution

The fourth proportional to 9,357.10, 14,037.95 and 2,783.25 is: 4,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.10 : 14,037.95 = 2,783.25 : x
  2. Step 2: Convert to fraction form
    9,357.10/14,037.95 = 2,783.25/x
  3. Step 3: Cross multiply
    9,357.10x = 14,037.95 × 2,783.25
  4. Step 4: Simplify right side
    9,357.10x = 39,071,131.30
  5. Step 5: Solve for x
    x = 39,071,131.30/9,357.10
  6. Step 6: Final answer
    x = 4,175.56

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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.