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Finding the Fourth Proportional to 9,722.68, 14,591.31 and 6,030.29

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Solution

The fourth proportional to 9,722.68, 14,591.31 and 6,030.29 is: 9,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.68 : 14,591.31 = 6,030.29 : x
  2. Step 2: Convert to fraction form
    9,722.68/14,591.31 = 6,030.29/x
  3. Step 3: Cross multiply
    9,722.68x = 14,591.31 × 6,030.29
  4. Step 4: Simplify right side
    9,722.68x = 87,989,844.64
  5. Step 5: Solve for x
    x = 87,989,844.64/9,722.68
  6. Step 6: Final answer
    x = 9,049.96

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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.