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Finding the Fourth Proportional to 9,852, 13,595.82 and 5,660.28

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Solution

The fourth proportional to 9,852, 13,595.82 and 5,660.28 is: 7,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852 : 13,595.82 = 5,660.28 : x
  2. Step 2: Convert to fraction form
    9,852/13,595.82 = 5,660.28/x
  3. Step 3: Cross multiply
    9,852x = 13,595.82 × 5,660.28
  4. Step 4: Simplify right side
    9,852x = 76,956,148.03
  5. Step 5: Solve for x
    x = 76,956,148.03/9,852
  6. Step 6: Final answer
    x = 7,811.22

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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.