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Finding the Fourth Proportional to 9,480.86, 14,223.13 and 3,637.02

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Solution

The fourth proportional to 9,480.86, 14,223.13 and 3,637.02 is: 5,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.86 : 14,223.13 = 3,637.02 : x
  2. Step 2: Convert to fraction form
    9,480.86/14,223.13 = 3,637.02/x
  3. Step 3: Cross multiply
    9,480.86x = 14,223.13 × 3,637.02
  4. Step 4: Simplify right side
    9,480.86x = 51,729,772.51
  5. Step 5: Solve for x
    x = 51,729,772.51/9,480.86
  6. Step 6: Final answer
    x = 5,456.23

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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.