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Finding the Fourth Proportional to 6,897.62, 9,514.68 and 5,007

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Solution

The fourth proportional to 6,897.62, 9,514.68 and 5,007 is: 6,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.62 : 9,514.68 = 5,007 : x
  2. Step 2: Convert to fraction form
    6,897.62/9,514.68 = 5,007/x
  3. Step 3: Cross multiply
    6,897.62x = 9,514.68 × 5,007
  4. Step 4: Simplify right side
    6,897.62x = 47,640,002.76
  5. Step 5: Solve for x
    x = 47,640,002.76/6,897.62
  6. Step 6: Final answer
    x = 6,906.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.