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Finding the Fourth Proportional to 9,804.34, 14,706.51 and 3,957.15

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Solution

The fourth proportional to 9,804.34, 14,706.51 and 3,957.15 is: 5,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.34 : 14,706.51 = 3,957.15 : x
  2. Step 2: Convert to fraction form
    9,804.34/14,706.51 = 3,957.15/x
  3. Step 3: Cross multiply
    9,804.34x = 14,706.51 × 3,957.15
  4. Step 4: Simplify right side
    9,804.34x = 58,195,846.26
  5. Step 5: Solve for x
    x = 58,195,846.26/9,804.34
  6. Step 6: Final answer
    x = 5,935.73

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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.