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Finding the Fourth Proportional to 6,229.74, 9,331.43 and 5,038.67

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Solution

The fourth proportional to 6,229.74, 9,331.43 and 5,038.67 is: 7,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.74 : 9,331.43 = 5,038.67 : x
  2. Step 2: Convert to fraction form
    6,229.74/9,331.43 = 5,038.67/x
  3. Step 3: Cross multiply
    6,229.74x = 9,331.43 × 5,038.67
  4. Step 4: Simplify right side
    6,229.74x = 47,017,996.40
  5. Step 5: Solve for x
    x = 47,017,996.40/6,229.74
  6. Step 6: Final answer
    x = 7,547.34

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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.