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Finding the Fourth Proportional to 7,092.16, 9,785.70 and 4,107.82

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Solution

The fourth proportional to 7,092.16, 9,785.70 and 4,107.82 is: 5,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.16 : 9,785.70 = 4,107.82 : x
  2. Step 2: Convert to fraction form
    7,092.16/9,785.70 = 4,107.82/x
  3. Step 3: Cross multiply
    7,092.16x = 9,785.70 × 4,107.82
  4. Step 4: Simplify right side
    7,092.16x = 40,197,888.06
  5. Step 5: Solve for x
    x = 40,197,888.06/7,092.16
  6. Step 6: Final answer
    x = 5,667.93

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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.