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Finding the Fourth Proportional to 9,804.31, 14,706.47 and 3,563.16

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Solution

The fourth proportional to 9,804.31, 14,706.47 and 3,563.16 is: 5,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.31 : 14,706.47 = 3,563.16 : x
  2. Step 2: Convert to fraction form
    9,804.31/14,706.47 = 3,563.16/x
  3. Step 3: Cross multiply
    9,804.31x = 14,706.47 × 3,563.16
  4. Step 4: Simplify right side
    9,804.31x = 52,401,505.65
  5. Step 5: Solve for x
    x = 52,401,505.65/9,804.31
  6. Step 6: Final answer
    x = 5,344.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.