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Finding the Fourth Proportional to 9,851.54, 14,777.04 and 3,188.02

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Solution

The fourth proportional to 9,851.54, 14,777.04 and 3,188.02 is: 4,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.54 : 14,777.04 = 3,188.02 : x
  2. Step 2: Convert to fraction form
    9,851.54/14,777.04 = 3,188.02/x
  3. Step 3: Cross multiply
    9,851.54x = 14,777.04 × 3,188.02
  4. Step 4: Simplify right side
    9,851.54x = 47,109,499.06
  5. Step 5: Solve for x
    x = 47,109,499.06/9,851.54
  6. Step 6: Final answer
    x = 4,781.94

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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.