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Finding the Fourth Proportional to 9,130.86, 13,696.97 and 2,556.80

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Solution

The fourth proportional to 9,130.86, 13,696.97 and 2,556.80 is: 3,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.86 : 13,696.97 = 2,556.80 : x
  2. Step 2: Convert to fraction form
    9,130.86/13,696.97 = 2,556.80/x
  3. Step 3: Cross multiply
    9,130.86x = 13,696.97 × 2,556.80
  4. Step 4: Simplify right side
    9,130.86x = 35,020,331.63
  5. Step 5: Solve for x
    x = 35,020,331.63/9,130.86
  6. Step 6: Final answer
    x = 3,835.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.