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Finding the Fourth Proportional to 7,209, 9,948.42 and 3,897

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Solution

The fourth proportional to 7,209, 9,948.42 and 3,897 is: 5,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209 : 9,948.42 = 3,897 : x
  2. Step 2: Convert to fraction form
    7,209/9,948.42 = 3,897/x
  3. Step 3: Cross multiply
    7,209x = 9,948.42 × 3,897
  4. Step 4: Simplify right side
    7,209x = 38,768,992.74
  5. Step 5: Solve for x
    x = 38,768,992.74/7,209
  6. Step 6: Final answer
    x = 5,377.86

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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.