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Finding the Fourth Proportional to 7,090.12, 9,782.94 and 4,294

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Solution

The fourth proportional to 7,090.12, 9,782.94 and 4,294 is: 5,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.12 : 9,782.94 = 4,294 : x
  2. Step 2: Convert to fraction form
    7,090.12/9,782.94 = 4,294/x
  3. Step 3: Cross multiply
    7,090.12x = 9,782.94 × 4,294
  4. Step 4: Simplify right side
    7,090.12x = 42,007,944.36
  5. Step 5: Solve for x
    x = 42,007,944.36/7,090.12
  6. Step 6: Final answer
    x = 5,924.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.