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Finding the Fourth Proportional to 7,092.29, 9,785.13 and 4,107.35

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Solution

The fourth proportional to 7,092.29, 9,785.13 and 4,107.35 is: 5,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.29 : 9,785.13 = 4,107.35 : x
  2. Step 2: Convert to fraction form
    7,092.29/9,785.13 = 4,107.35/x
  3. Step 3: Cross multiply
    7,092.29x = 9,785.13 × 4,107.35
  4. Step 4: Simplify right side
    7,092.29x = 40,190,953.71
  5. Step 5: Solve for x
    x = 40,190,953.71/7,092.29
  6. Step 6: Final answer
    x = 5,666.85

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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.