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Finding the Fourth Proportional to 7,139.96, 9,857.61 and 4,588.75

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Solution

The fourth proportional to 7,139.96, 9,857.61 and 4,588.75 is: 6,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.96 : 9,857.61 = 4,588.75 : x
  2. Step 2: Convert to fraction form
    7,139.96/9,857.61 = 4,588.75/x
  3. Step 3: Cross multiply
    7,139.96x = 9,857.61 × 4,588.75
  4. Step 4: Simplify right side
    7,139.96x = 45,234,107.89
  5. Step 5: Solve for x
    x = 45,234,107.89/7,139.96
  6. Step 6: Final answer
    x = 6,335.34

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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.