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Finding the Fourth Proportional to 9,851.89, 14,784.03 and 4,008.52

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Solution

The fourth proportional to 9,851.89, 14,784.03 and 4,008.52 is: 6,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.89 : 14,784.03 = 4,008.52 : x
  2. Step 2: Convert to fraction form
    9,851.89/14,784.03 = 4,008.52/x
  3. Step 3: Cross multiply
    9,851.89x = 14,784.03 × 4,008.52
  4. Step 4: Simplify right side
    9,851.89x = 59,262,079.94
  5. Step 5: Solve for x
    x = 59,262,079.94/9,851.89
  6. Step 6: Final answer
    x = 6,015.30

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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.