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Finding the Fourth Proportional to 6,938.17, 9,574.18 and 3,913.40

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Solution

The fourth proportional to 6,938.17, 9,574.18 and 3,913.40 is: 5,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.17 : 9,574.18 = 3,913.40 : x
  2. Step 2: Convert to fraction form
    6,938.17/9,574.18 = 3,913.40/x
  3. Step 3: Cross multiply
    6,938.17x = 9,574.18 × 3,913.40
  4. Step 4: Simplify right side
    6,938.17x = 37,467,632.18
  5. Step 5: Solve for x
    x = 37,467,632.18/6,938.17
  6. Step 6: Final answer
    x = 5,400.22

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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.