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Finding the Fourth Proportional to 9,851.72, 14,781.62 and 7,232.58

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Solution

The fourth proportional to 9,851.72, 14,781.62 and 7,232.58 is: 10,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.72 : 14,781.62 = 7,232.58 : x
  2. Step 2: Convert to fraction form
    9,851.72/14,781.62 = 7,232.58/x
  3. Step 3: Cross multiply
    9,851.72x = 14,781.62 × 7,232.58
  4. Step 4: Simplify right side
    9,851.72x = 106,909,267.26
  5. Step 5: Solve for x
    x = 106,909,267.26/9,851.72
  6. Step 6: Final answer
    x = 10,851.84

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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.