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Finding the Fourth Proportional to 9,110.68, 12,573.07 and 5,077.69

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Solution

The fourth proportional to 9,110.68, 12,573.07 and 5,077.69 is: 7,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.68 : 12,573.07 = 5,077.69 : x
  2. Step 2: Convert to fraction form
    9,110.68/12,573.07 = 5,077.69/x
  3. Step 3: Cross multiply
    9,110.68x = 12,573.07 × 5,077.69
  4. Step 4: Simplify right side
    9,110.68x = 63,842,107.68
  5. Step 5: Solve for x
    x = 63,842,107.68/9,110.68
  6. Step 6: Final answer
    x = 7,007.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.