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Finding the Fourth Proportional to 7,085.89, 9,778.53 and 3,942.08

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Solution

The fourth proportional to 7,085.89, 9,778.53 and 3,942.08 is: 5,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.89 : 9,778.53 = 3,942.08 : x
  2. Step 2: Convert to fraction form
    7,085.89/9,778.53 = 3,942.08/x
  3. Step 3: Cross multiply
    7,085.89x = 9,778.53 × 3,942.08
  4. Step 4: Simplify right side
    7,085.89x = 38,547,698.65
  5. Step 5: Solve for x
    x = 38,547,698.65/7,085.89
  6. Step 6: Final answer
    x = 5,440.07

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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.