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Finding the Fourth Proportional to 9,851.78, 13,595.19 and 5,375.53

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Solution

The fourth proportional to 9,851.78, 13,595.19 and 5,375.53 is: 7,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.78 : 13,595.19 = 5,375.53 : x
  2. Step 2: Convert to fraction form
    9,851.78/13,595.19 = 5,375.53/x
  3. Step 3: Cross multiply
    9,851.78x = 13,595.19 × 5,375.53
  4. Step 4: Simplify right side
    9,851.78x = 73,081,378.77
  5. Step 5: Solve for x
    x = 73,081,378.77/9,851.78
  6. Step 6: Final answer
    x = 7,418.09

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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.