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Finding the Fourth Proportional to 9,807.63, 14,706.83 and 3,563.25

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Solution

The fourth proportional to 9,807.63, 14,706.83 and 3,563.25 is: 5,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.63 : 14,706.83 = 3,563.25 : x
  2. Step 2: Convert to fraction form
    9,807.63/14,706.83 = 3,563.25/x
  3. Step 3: Cross multiply
    9,807.63x = 14,706.83 × 3,563.25
  4. Step 4: Simplify right side
    9,807.63x = 52,404,094.18
  5. Step 5: Solve for x
    x = 52,404,094.18/9,807.63
  6. Step 6: Final answer
    x = 5,343.20

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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.