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Finding the Fourth Proportional to 9,659.75, 13,330.46 and 5,468

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Solution

The fourth proportional to 9,659.75, 13,330.46 and 5,468 is: 7,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.75 : 13,330.46 = 5,468 : x
  2. Step 2: Convert to fraction form
    9,659.75/13,330.46 = 5,468/x
  3. Step 3: Cross multiply
    9,659.75x = 13,330.46 × 5,468
  4. Step 4: Simplify right side
    9,659.75x = 72,890,927.94
  5. Step 5: Solve for x
    x = 72,890,927.94/9,659.75
  6. Step 6: Final answer
    x = 7,545.84

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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.