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Finding the Fourth Proportional to 9,488.94, 13,091.00 and 5,950.86

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Solution

The fourth proportional to 9,488.94, 13,091.00 and 5,950.86 is: 8,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.94 : 13,091.00 = 5,950.86 : x
  2. Step 2: Convert to fraction form
    9,488.94/13,091.00 = 5,950.86/x
  3. Step 3: Cross multiply
    9,488.94x = 13,091.00 × 5,950.86
  4. Step 4: Simplify right side
    9,488.94x = 77,902,678.51
  5. Step 5: Solve for x
    x = 77,902,678.51/9,488.94
  6. Step 6: Final answer
    x = 8,209.84

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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.