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Finding the Fourth Proportional to 9,851.40, 13,594.43 and 5,375.12

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Solution

The fourth proportional to 9,851.40, 13,594.43 and 5,375.12 is: 7,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.40 : 13,594.43 = 5,375.12 : x
  2. Step 2: Convert to fraction form
    9,851.40/13,594.43 = 5,375.12/x
  3. Step 3: Cross multiply
    9,851.40x = 13,594.43 × 5,375.12
  4. Step 4: Simplify right side
    9,851.40x = 73,071,638.05
  5. Step 5: Solve for x
    x = 73,071,638.05/9,851.40
  6. Step 6: Final answer
    x = 7,417.39

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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.