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Finding the Fourth Proportional to 9,283.99, 13,927.29 and 2,710.66

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Solution

The fourth proportional to 9,283.99, 13,927.29 and 2,710.66 is: 4,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.99 : 13,927.29 = 2,710.66 : x
  2. Step 2: Convert to fraction form
    9,283.99/13,927.29 = 2,710.66/x
  3. Step 3: Cross multiply
    9,283.99x = 13,927.29 × 2,710.66
  4. Step 4: Simplify right side
    9,283.99x = 37,752,147.91
  5. Step 5: Solve for x
    x = 37,752,147.91/9,283.99
  6. Step 6: Final answer
    x = 4,066.37

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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.