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Finding the Fourth Proportional to 6,221.09, 9,337.71 and 4,849.35

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Solution

The fourth proportional to 6,221.09, 9,337.71 and 4,849.35 is: 7,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.09 : 9,337.71 = 4,849.35 : x
  2. Step 2: Convert to fraction form
    6,221.09/9,337.71 = 4,849.35/x
  3. Step 3: Cross multiply
    6,221.09x = 9,337.71 × 4,849.35
  4. Step 4: Simplify right side
    6,221.09x = 45,281,823.99
  5. Step 5: Solve for x
    x = 45,281,823.99/6,221.09
  6. Step 6: Final answer
    x = 7,278.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.