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Finding the Fourth Proportional to 9,356.58, 14,035.11 and 2,782.82

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Solution

The fourth proportional to 9,356.58, 14,035.11 and 2,782.82 is: 4,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.58 : 14,035.11 = 2,782.82 : x
  2. Step 2: Convert to fraction form
    9,356.58/14,035.11 = 2,782.82/x
  3. Step 3: Cross multiply
    9,356.58x = 14,035.11 × 2,782.82
  4. Step 4: Simplify right side
    9,356.58x = 39,057,209.46
  5. Step 5: Solve for x
    x = 39,057,209.46/9,356.58
  6. Step 6: Final answer
    x = 4,174.30

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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.