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Finding the Fourth Proportional to 9,356.99, 14,038.11 and 2,783.43

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Solution

The fourth proportional to 9,356.99, 14,038.11 and 2,783.43 is: 4,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.99 : 14,038.11 = 2,783.43 : x
  2. Step 2: Convert to fraction form
    9,356.99/14,038.11 = 2,783.43/x
  3. Step 3: Cross multiply
    9,356.99x = 14,038.11 × 2,783.43
  4. Step 4: Simplify right side
    9,356.99x = 39,074,096.52
  5. Step 5: Solve for x
    x = 39,074,096.52/9,356.99
  6. Step 6: Final answer
    x = 4,175.93

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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.