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Finding the Fourth Proportional to 9,302.72, 12,841.60 and 5,576

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Solution

The fourth proportional to 9,302.72, 12,841.60 and 5,576 is: 7,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.72 : 12,841.60 = 5,576 : x
  2. Step 2: Convert to fraction form
    9,302.72/12,841.60 = 5,576/x
  3. Step 3: Cross multiply
    9,302.72x = 12,841.60 × 5,576
  4. Step 4: Simplify right side
    9,302.72x = 71,604,761.60
  5. Step 5: Solve for x
    x = 71,604,761.60/9,302.72
  6. Step 6: Final answer
    x = 7,697.19

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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.