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Finding the Fourth Proportional to 9,842.28, 13,588 and 6,483.87

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Solution

The fourth proportional to 9,842.28, 13,588 and 6,483.87 is: 8,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.28 : 13,588 = 6,483.87 : x
  2. Step 2: Convert to fraction form
    9,842.28/13,588 = 6,483.87/x
  3. Step 3: Cross multiply
    9,842.28x = 13,588 × 6,483.87
  4. Step 4: Simplify right side
    9,842.28x = 88,102,825.56
  5. Step 5: Solve for x
    x = 88,102,825.56/9,842.28
  6. Step 6: Final answer
    x = 8,951.47

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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.