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Finding the Fourth Proportional to 6,952.54, 9,595.38 and 3,928.24

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Solution

The fourth proportional to 6,952.54, 9,595.38 and 3,928.24 is: 5,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.54 : 9,595.38 = 3,928.24 : x
  2. Step 2: Convert to fraction form
    6,952.54/9,595.38 = 3,928.24/x
  3. Step 3: Cross multiply
    6,952.54x = 9,595.38 × 3,928.24
  4. Step 4: Simplify right side
    6,952.54x = 37,692,955.53
  5. Step 5: Solve for x
    x = 37,692,955.53/6,952.54
  6. Step 6: Final answer
    x = 5,421.47

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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.