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Finding the Fourth Proportional to 9,137.92, 13,707.64 and 3,590.84

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Solution

The fourth proportional to 9,137.92, 13,707.64 and 3,590.84 is: 5,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.92 : 13,707.64 = 3,590.84 : x
  2. Step 2: Convert to fraction form
    9,137.92/13,707.64 = 3,590.84/x
  3. Step 3: Cross multiply
    9,137.92x = 13,707.64 × 3,590.84
  4. Step 4: Simplify right side
    9,137.92x = 49,221,942.02
  5. Step 5: Solve for x
    x = 49,221,942.02/9,137.92
  6. Step 6: Final answer
    x = 5,386.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.