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Finding the Fourth Proportional to 7,090.48, 9,785.44 and 3,946.72

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Solution

The fourth proportional to 7,090.48, 9,785.44 and 3,946.72 is: 5,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.48 : 9,785.44 = 3,946.72 : x
  2. Step 2: Convert to fraction form
    7,090.48/9,785.44 = 3,946.72/x
  3. Step 3: Cross multiply
    7,090.48x = 9,785.44 × 3,946.72
  4. Step 4: Simplify right side
    7,090.48x = 38,620,391.76
  5. Step 5: Solve for x
    x = 38,620,391.76/7,090.48
  6. Step 6: Final answer
    x = 5,446.80

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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.