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Finding the Fourth Proportional to 7,085.70, 9,778.91 and 3,899.63

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Solution

The fourth proportional to 7,085.70, 9,778.91 and 3,899.63 is: 5,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.70 : 9,778.91 = 3,899.63 : x
  2. Step 2: Convert to fraction form
    7,085.70/9,778.91 = 3,899.63/x
  3. Step 3: Cross multiply
    7,085.70x = 9,778.91 × 3,899.63
  4. Step 4: Simplify right side
    7,085.70x = 38,134,135.75
  5. Step 5: Solve for x
    x = 38,134,135.75/7,085.70
  6. Step 6: Final answer
    x = 5,381.84

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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.