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Finding the Fourth Proportional to 9,842.48, 13,576.16 and 6,300.08

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Solution

The fourth proportional to 9,842.48, 13,576.16 and 6,300.08 is: 8,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.48 : 13,576.16 = 6,300.08 : x
  2. Step 2: Convert to fraction form
    9,842.48/13,576.16 = 6,300.08/x
  3. Step 3: Cross multiply
    9,842.48x = 13,576.16 × 6,300.08
  4. Step 4: Simplify right side
    9,842.48x = 85,530,894.09
  5. Step 5: Solve for x
    x = 85,530,894.09/9,842.48
  6. Step 6: Final answer
    x = 8,689.97

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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.