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Finding the Fourth Proportional to 7,090.28, 9,785.72 and 4,107.95

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Solution

The fourth proportional to 7,090.28, 9,785.72 and 4,107.95 is: 5,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.28 : 9,785.72 = 4,107.95 : x
  2. Step 2: Convert to fraction form
    7,090.28/9,785.72 = 4,107.95/x
  3. Step 3: Cross multiply
    7,090.28x = 9,785.72 × 4,107.95
  4. Step 4: Simplify right side
    7,090.28x = 40,199,248.47
  5. Step 5: Solve for x
    x = 40,199,248.47/7,090.28
  6. Step 6: Final answer
    x = 5,669.63

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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.