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Finding the Fourth Proportional to 7,085.14, 9,778.13 and 3,899.07

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Solution

The fourth proportional to 7,085.14, 9,778.13 and 3,899.07 is: 5,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.14 : 9,778.13 = 3,899.07 : x
  2. Step 2: Convert to fraction form
    7,085.14/9,778.13 = 3,899.07/x
  3. Step 3: Cross multiply
    7,085.14x = 9,778.13 × 3,899.07
  4. Step 4: Simplify right side
    7,085.14x = 38,125,613.34
  5. Step 5: Solve for x
    x = 38,125,613.34/7,085.14
  6. Step 6: Final answer
    x = 5,381.07

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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.