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Finding the Fourth Proportional to 9,851.74, 13,595.14 and 5,375.52

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Solution

The fourth proportional to 9,851.74, 13,595.14 and 5,375.52 is: 7,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.74 : 13,595.14 = 5,375.52 : x
  2. Step 2: Convert to fraction form
    9,851.74/13,595.14 = 5,375.52/x
  3. Step 3: Cross multiply
    9,851.74x = 13,595.14 × 5,375.52
  4. Step 4: Simplify right side
    9,851.74x = 73,080,946.97
  5. Step 5: Solve for x
    x = 73,080,946.97/9,851.74
  6. Step 6: Final answer
    x = 7,418.08

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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.