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Finding the Fourth Proportional to 9,644.04, 13,295.07 and 6,802.56

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Solution

The fourth proportional to 9,644.04, 13,295.07 and 6,802.56 is: 9,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.04 : 13,295.07 = 6,802.56 : x
  2. Step 2: Convert to fraction form
    9,644.04/13,295.07 = 6,802.56/x
  3. Step 3: Cross multiply
    9,644.04x = 13,295.07 × 6,802.56
  4. Step 4: Simplify right side
    9,644.04x = 90,440,511.38
  5. Step 5: Solve for x
    x = 90,440,511.38/9,644.04
  6. Step 6: Final answer
    x = 9,377.87

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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.