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Finding the Fourth Proportional to 9,643.68, 13,292.36 and 6,455.82

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Solution

The fourth proportional to 9,643.68, 13,292.36 and 6,455.82 is: 8,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.68 : 13,292.36 = 6,455.82 : x
  2. Step 2: Convert to fraction form
    9,643.68/13,292.36 = 6,455.82/x
  3. Step 3: Cross multiply
    9,643.68x = 13,292.36 × 6,455.82
  4. Step 4: Simplify right side
    9,643.68x = 85,813,083.54
  5. Step 5: Solve for x
    x = 85,813,083.54/9,643.68
  6. Step 6: Final answer
    x = 8,898.38

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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.