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Finding the Fourth Proportional to 6,490.29, 9,745.16 and 6,263.49

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Solution

The fourth proportional to 6,490.29, 9,745.16 and 6,263.49 is: 9,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.29 : 9,745.16 = 6,263.49 : x
  2. Step 2: Convert to fraction form
    6,490.29/9,745.16 = 6,263.49/x
  3. Step 3: Cross multiply
    6,490.29x = 9,745.16 × 6,263.49
  4. Step 4: Simplify right side
    6,490.29x = 61,038,680.89
  5. Step 5: Solve for x
    x = 61,038,680.89/6,490.29
  6. Step 6: Final answer
    x = 9,404.62

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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.