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Finding the Fourth Proportional to 6,894.46, 9,514.66 and 4,242.75

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Solution

The fourth proportional to 6,894.46, 9,514.66 and 4,242.75 is: 5,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.46 : 9,514.66 = 4,242.75 : x
  2. Step 2: Convert to fraction form
    6,894.46/9,514.66 = 4,242.75/x
  3. Step 3: Cross multiply
    6,894.46x = 9,514.66 × 4,242.75
  4. Step 4: Simplify right side
    6,894.46x = 40,368,323.72
  5. Step 5: Solve for x
    x = 40,368,323.72/6,894.46
  6. Step 6: Final answer
    x = 5,855.18

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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.