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Finding the Fourth Proportional to 9,208.42, 12,707.85 and 5,673.94

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Solution

The fourth proportional to 9,208.42, 12,707.85 and 5,673.94 is: 7,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.42 : 12,707.85 = 5,673.94 : x
  2. Step 2: Convert to fraction form
    9,208.42/12,707.85 = 5,673.94/x
  3. Step 3: Cross multiply
    9,208.42x = 12,707.85 × 5,673.94
  4. Step 4: Simplify right side
    9,208.42x = 72,103,578.43
  5. Step 5: Solve for x
    x = 72,103,578.43/9,208.42
  6. Step 6: Final answer
    x = 7,830.18

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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.