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Finding the Fourth Proportional to 9,488.22, 13,089.93 and 5,950.14

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Solution

The fourth proportional to 9,488.22, 13,089.93 and 5,950.14 is: 8,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.22 : 13,089.93 = 5,950.14 : x
  2. Step 2: Convert to fraction form
    9,488.22/13,089.93 = 5,950.14/x
  3. Step 3: Cross multiply
    9,488.22x = 13,089.93 × 5,950.14
  4. Step 4: Simplify right side
    9,488.22x = 77,886,916.09
  5. Step 5: Solve for x
    x = 77,886,916.09/9,488.22
  6. Step 6: Final answer
    x = 8,208.80

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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.