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Finding the Fourth Proportional to 7,090.26, 9,784.71 and 3,946.65

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Solution

The fourth proportional to 7,090.26, 9,784.71 and 3,946.65 is: 5,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.26 : 9,784.71 = 3,946.65 : x
  2. Step 2: Convert to fraction form
    7,090.26/9,784.71 = 3,946.65/x
  3. Step 3: Cross multiply
    7,090.26x = 9,784.71 × 3,946.65
  4. Step 4: Simplify right side
    7,090.26x = 38,616,825.72
  5. Step 5: Solve for x
    x = 38,616,825.72/7,090.26
  6. Step 6: Final answer
    x = 5,446.46

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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.