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Finding the Fourth Proportional to 9,876.27, 13,638.40 and 6,345.68

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Solution

The fourth proportional to 9,876.27, 13,638.40 and 6,345.68 is: 8,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.27 : 13,638.40 = 6,345.68 : x
  2. Step 2: Convert to fraction form
    9,876.27/13,638.40 = 6,345.68/x
  3. Step 3: Cross multiply
    9,876.27x = 13,638.40 × 6,345.68
  4. Step 4: Simplify right side
    9,876.27x = 86,544,940.34
  5. Step 5: Solve for x
    x = 86,544,940.34/9,876.27
  6. Step 6: Final answer
    x = 8,762.92

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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.