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Finding the Fourth Proportional to 9,803.89, 14,707.20 and 3,563.19

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Solution

The fourth proportional to 9,803.89, 14,707.20 and 3,563.19 is: 5,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.89 : 14,707.20 = 3,563.19 : x
  2. Step 2: Convert to fraction form
    9,803.89/14,707.20 = 3,563.19/x
  3. Step 3: Cross multiply
    9,803.89x = 14,707.20 × 3,563.19
  4. Step 4: Simplify right side
    9,803.89x = 52,404,561.33
  5. Step 5: Solve for x
    x = 52,404,561.33/9,803.89
  6. Step 6: Final answer
    x = 5,345.28

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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.