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Finding the Fourth Proportional to 9,851.90, 13,595.13 and 5,375.66

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Solution

The fourth proportional to 9,851.90, 13,595.13 and 5,375.66 is: 7,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.90 : 13,595.13 = 5,375.66 : x
  2. Step 2: Convert to fraction form
    9,851.90/13,595.13 = 5,375.66/x
  3. Step 3: Cross multiply
    9,851.90x = 13,595.13 × 5,375.66
  4. Step 4: Simplify right side
    9,851.90x = 73,082,728.56
  5. Step 5: Solve for x
    x = 73,082,728.56/9,851.90
  6. Step 6: Final answer
    x = 7,418.14

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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.