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Finding the Fourth Proportional to 9,302.67, 12,838.23 and 5,110.92

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Solution

The fourth proportional to 9,302.67, 12,838.23 and 5,110.92 is: 7,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.67 : 12,838.23 = 5,110.92 : x
  2. Step 2: Convert to fraction form
    9,302.67/12,838.23 = 5,110.92/x
  3. Step 3: Cross multiply
    9,302.67x = 12,838.23 × 5,110.92
  4. Step 4: Simplify right side
    9,302.67x = 65,615,166.47
  5. Step 5: Solve for x
    x = 65,615,166.47/9,302.67
  6. Step 6: Final answer
    x = 7,053.37

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