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Finding the Fourth Proportional to 9,950.03, 13,730.67 and 5,700.77

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Solution

The fourth proportional to 9,950.03, 13,730.67 and 5,700.77 is: 7,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.03 : 13,730.67 = 5,700.77 : x
  2. Step 2: Convert to fraction form
    9,950.03/13,730.67 = 5,700.77/x
  3. Step 3: Cross multiply
    9,950.03x = 13,730.67 × 5,700.77
  4. Step 4: Simplify right side
    9,950.03x = 78,275,391.62
  5. Step 5: Solve for x
    x = 78,275,391.62/9,950.03
  6. Step 6: Final answer
    x = 7,866.85

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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.