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Finding the Fourth Proportional to 9,485.10, 14,230.08 and 3,640.14

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Solution

The fourth proportional to 9,485.10, 14,230.08 and 3,640.14 is: 5,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.10 : 14,230.08 = 3,640.14 : x
  2. Step 2: Convert to fraction form
    9,485.10/14,230.08 = 3,640.14/x
  3. Step 3: Cross multiply
    9,485.10x = 14,230.08 × 3,640.14
  4. Step 4: Simplify right side
    9,485.10x = 51,799,483.41
  5. Step 5: Solve for x
    x = 51,799,483.41/9,485.10
  6. Step 6: Final answer
    x = 5,461.14

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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.