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Finding the Fourth Proportional to 6,392.98, 9,576.64 and 5,078.89

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Solution

The fourth proportional to 6,392.98, 9,576.64 and 5,078.89 is: 7,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.98 : 9,576.64 = 5,078.89 : x
  2. Step 2: Convert to fraction form
    6,392.98/9,576.64 = 5,078.89/x
  3. Step 3: Cross multiply
    6,392.98x = 9,576.64 × 5,078.89
  4. Step 4: Simplify right side
    6,392.98x = 48,638,701.13
  5. Step 5: Solve for x
    x = 48,638,701.13/6,392.98
  6. Step 6: Final answer
    x = 7,608.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.