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Finding the Fourth Proportional to 9,419.76, 12,999.24 and 5,170.84

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Solution

The fourth proportional to 9,419.76, 12,999.24 and 5,170.84 is: 7,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.76 : 12,999.24 = 5,170.84 : x
  2. Step 2: Convert to fraction form
    9,419.76/12,999.24 = 5,170.84/x
  3. Step 3: Cross multiply
    9,419.76x = 12,999.24 × 5,170.84
  4. Step 4: Simplify right side
    9,419.76x = 67,216,990.16
  5. Step 5: Solve for x
    x = 67,216,990.16/9,419.76
  6. Step 6: Final answer
    x = 7,135.74

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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.