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Finding the Fourth Proportional to 7,090.67, 9,785.61 and 4,696.52

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Solution

The fourth proportional to 7,090.67, 9,785.61 and 4,696.52 is: 6,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.67 : 9,785.61 = 4,696.52 : x
  2. Step 2: Convert to fraction form
    7,090.67/9,785.61 = 4,696.52/x
  3. Step 3: Cross multiply
    7,090.67x = 9,785.61 × 4,696.52
  4. Step 4: Simplify right side
    7,090.67x = 45,958,264.15
  5. Step 5: Solve for x
    x = 45,958,264.15/7,090.67
  6. Step 6: Final answer
    x = 6,481.51

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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.