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Finding the Fourth Proportional to 7,156.39, 9,875.91 and 3,969.76

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Solution

The fourth proportional to 7,156.39, 9,875.91 and 3,969.76 is: 5,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.39 : 9,875.91 = 3,969.76 : x
  2. Step 2: Convert to fraction form
    7,156.39/9,875.91 = 3,969.76/x
  3. Step 3: Cross multiply
    7,156.39x = 9,875.91 × 3,969.76
  4. Step 4: Simplify right side
    7,156.39x = 39,204,992.48
  5. Step 5: Solve for x
    x = 39,204,992.48/7,156.39
  6. Step 6: Final answer
    x = 5,478.32

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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.