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Finding the Fourth Proportional to 6,894.88, 9,524.62 and 6,148.60

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Solution

The fourth proportional to 6,894.88, 9,524.62 and 6,148.60 is: 8,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.88 : 9,524.62 = 6,148.60 : x
  2. Step 2: Convert to fraction form
    6,894.88/9,524.62 = 6,148.60/x
  3. Step 3: Cross multiply
    6,894.88x = 9,524.62 × 6,148.60
  4. Step 4: Simplify right side
    6,894.88x = 58,563,062.41
  5. Step 5: Solve for x
    x = 58,563,062.41/6,894.88
  6. Step 6: Final answer
    x = 8,493.71

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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.