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Finding the Fourth Proportional to 6,884.40, 9,504.50 and 4,994.16

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Solution

The fourth proportional to 6,884.40, 9,504.50 and 4,994.16 is: 6,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.40 : 9,504.50 = 4,994.16 : x
  2. Step 2: Convert to fraction form
    6,884.40/9,504.50 = 4,994.16/x
  3. Step 3: Cross multiply
    6,884.40x = 9,504.50 × 4,994.16
  4. Step 4: Simplify right side
    6,884.40x = 47,466,968.75
  5. Step 5: Solve for x
    x = 47,466,968.75/6,884.40
  6. Step 6: Final answer
    x = 6,894.86

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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.