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Finding the Fourth Proportional to 9,480.16, 14,218.08 and 3,635.47

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Solution

The fourth proportional to 9,480.16, 14,218.08 and 3,635.47 is: 5,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.16 : 14,218.08 = 3,635.47 : x
  2. Step 2: Convert to fraction form
    9,480.16/14,218.08 = 3,635.47/x
  3. Step 3: Cross multiply
    9,480.16x = 14,218.08 × 3,635.47
  4. Step 4: Simplify right side
    9,480.16x = 51,689,403.30
  5. Step 5: Solve for x
    x = 51,689,403.30/9,480.16
  6. Step 6: Final answer
    x = 5,452.38

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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.