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Finding the Fourth Proportional to 9,851.60, 14,781.60 and 5,175.20

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Solution

The fourth proportional to 9,851.60, 14,781.60 and 5,175.20 is: 7,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.60 : 14,781.60 = 5,175.20 : x
  2. Step 2: Convert to fraction form
    9,851.60/14,781.60 = 5,175.20/x
  3. Step 3: Cross multiply
    9,851.60x = 14,781.60 × 5,175.20
  4. Step 4: Simplify right side
    9,851.60x = 76,497,736.32
  5. Step 5: Solve for x
    x = 76,497,736.32/9,851.60
  6. Step 6: Final answer
    x = 7,765.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.