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Finding the Fourth Proportional to 9,488.51, 13,092.42 and 6,664.51

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Solution

The fourth proportional to 9,488.51, 13,092.42 and 6,664.51 is: 9,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.51 : 13,092.42 = 6,664.51 : x
  2. Step 2: Convert to fraction form
    9,488.51/13,092.42 = 6,664.51/x
  3. Step 3: Cross multiply
    9,488.51x = 13,092.42 × 6,664.51
  4. Step 4: Simplify right side
    9,488.51x = 87,254,580.08
  5. Step 5: Solve for x
    x = 87,254,580.08/9,488.51
  6. Step 6: Final answer
    x = 9,195.81

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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.