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Finding the Fourth Proportional to 9,419.98, 12,999.66 and 5,885.24

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Solution

The fourth proportional to 9,419.98, 12,999.66 and 5,885.24 is: 8,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.98 : 12,999.66 = 5,885.24 : x
  2. Step 2: Convert to fraction form
    9,419.98/12,999.66 = 5,885.24/x
  3. Step 3: Cross multiply
    9,419.98x = 12,999.66 × 5,885.24
  4. Step 4: Simplify right side
    9,419.98x = 76,506,119.02
  5. Step 5: Solve for x
    x = 76,506,119.02/9,419.98
  6. Step 6: Final answer
    x = 8,121.69

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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.