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Finding the Fourth Proportional to 9,355.86, 12,910.89 and 5,107.01

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Solution

The fourth proportional to 9,355.86, 12,910.89 and 5,107.01 is: 7,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.86 : 12,910.89 = 5,107.01 : x
  2. Step 2: Convert to fraction form
    9,355.86/12,910.89 = 5,107.01/x
  3. Step 3: Cross multiply
    9,355.86x = 12,910.89 × 5,107.01
  4. Step 4: Simplify right side
    9,355.86x = 65,935,998.94
  5. Step 5: Solve for x
    x = 65,935,998.94/9,355.86
  6. Step 6: Final answer
    x = 7,047.56

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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.