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Finding the Fourth Proportional to 7,085.98, 9,785.91 and 5,314.78

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Solution

The fourth proportional to 7,085.98, 9,785.91 and 5,314.78 is: 7,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.98 : 9,785.91 = 5,314.78 : x
  2. Step 2: Convert to fraction form
    7,085.98/9,785.91 = 5,314.78/x
  3. Step 3: Cross multiply
    7,085.98x = 9,785.91 × 5,314.78
  4. Step 4: Simplify right side
    7,085.98x = 52,009,958.75
  5. Step 5: Solve for x
    x = 52,009,958.75/7,085.98
  6. Step 6: Final answer
    x = 7,339.84

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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.