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Finding the Fourth Proportional to 7,105.60, 9,785.46 and 6,952.96

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Solution

The fourth proportional to 7,105.60, 9,785.46 and 6,952.96 is: 9,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.60 : 9,785.46 = 6,952.96 : x
  2. Step 2: Convert to fraction form
    7,105.60/9,785.46 = 6,952.96/x
  3. Step 3: Cross multiply
    7,105.60x = 9,785.46 × 6,952.96
  4. Step 4: Simplify right side
    7,105.60x = 68,037,911.96
  5. Step 5: Solve for x
    x = 68,037,911.96/7,105.60
  6. Step 6: Final answer
    x = 9,575.25

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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.