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Finding the Fourth Proportional to 9,851.42, 13,594.77 and 5,375.05

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Solution

The fourth proportional to 9,851.42, 13,594.77 and 5,375.05 is: 7,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.42 : 13,594.77 = 5,375.05 : x
  2. Step 2: Convert to fraction form
    9,851.42/13,594.77 = 5,375.05/x
  3. Step 3: Cross multiply
    9,851.42x = 13,594.77 × 5,375.05
  4. Step 4: Simplify right side
    9,851.42x = 73,072,534.50
  5. Step 5: Solve for x
    x = 73,072,534.50/9,851.42
  6. Step 6: Final answer
    x = 7,417.46

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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.