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Finding the Fourth Proportional to 9,864.92, 13,607.26 and 6,034.77

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Solution

The fourth proportional to 9,864.92, 13,607.26 and 6,034.77 is: 8,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.92 : 13,607.26 = 6,034.77 : x
  2. Step 2: Convert to fraction form
    9,864.92/13,607.26 = 6,034.77/x
  3. Step 3: Cross multiply
    9,864.92x = 13,607.26 × 6,034.77
  4. Step 4: Simplify right side
    9,864.92x = 82,116,669.34
  5. Step 5: Solve for x
    x = 82,116,669.34/9,864.92
  6. Step 6: Final answer
    x = 8,324.11

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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.