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Finding the Fourth Proportional to 6,918.20, 9,547 and 3,774.38

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Solution

The fourth proportional to 6,918.20, 9,547 and 3,774.38 is: 5,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.20 : 9,547 = 3,774.38 : x
  2. Step 2: Convert to fraction form
    6,918.20/9,547 = 3,774.38/x
  3. Step 3: Cross multiply
    6,918.20x = 9,547 × 3,774.38
  4. Step 4: Simplify right side
    6,918.20x = 36,034,005.86
  5. Step 5: Solve for x
    x = 36,034,005.86/6,918.20
  6. Step 6: Final answer
    x = 5,208.58

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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.