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Finding the Fourth Proportional to 6,934.29, 9,572.49 and 4,419.84

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Solution

The fourth proportional to 6,934.29, 9,572.49 and 4,419.84 is: 6,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.29 : 9,572.49 = 4,419.84 : x
  2. Step 2: Convert to fraction form
    6,934.29/9,572.49 = 4,419.84/x
  3. Step 3: Cross multiply
    6,934.29x = 9,572.49 × 4,419.84
  4. Step 4: Simplify right side
    6,934.29x = 42,308,874.20
  5. Step 5: Solve for x
    x = 42,308,874.20/6,934.29
  6. Step 6: Final answer
    x = 6,101.40

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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.