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Finding the Fourth Proportional to 9,130.53, 13,696.56 and 2,556.71

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Solution

The fourth proportional to 9,130.53, 13,696.56 and 2,556.71 is: 3,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.53 : 13,696.56 = 2,556.71 : x
  2. Step 2: Convert to fraction form
    9,130.53/13,696.56 = 2,556.71/x
  3. Step 3: Cross multiply
    9,130.53x = 13,696.56 × 2,556.71
  4. Step 4: Simplify right side
    9,130.53x = 35,018,063.43
  5. Step 5: Solve for x
    x = 35,018,063.43/9,130.53
  6. Step 6: Final answer
    x = 3,835.27

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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.