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Finding the Fourth Proportional to 9,193.36, 12,686.98 and 5,001.64

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Solution

The fourth proportional to 9,193.36, 12,686.98 and 5,001.64 is: 6,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.36 : 12,686.98 = 5,001.64 : x
  2. Step 2: Convert to fraction form
    9,193.36/12,686.98 = 5,001.64/x
  3. Step 3: Cross multiply
    9,193.36x = 12,686.98 × 5,001.64
  4. Step 4: Simplify right side
    9,193.36x = 63,455,706.65
  5. Step 5: Solve for x
    x = 63,455,706.65/9,193.36
  6. Step 6: Final answer
    x = 6,902.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.