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Finding the Fourth Proportional to 9,905.05, 14,828.83 and 7,707.12

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Solution

The fourth proportional to 9,905.05, 14,828.83 and 7,707.12 is: 11,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.05 : 14,828.83 = 7,707.12 : x
  2. Step 2: Convert to fraction form
    9,905.05/14,828.83 = 7,707.12/x
  3. Step 3: Cross multiply
    9,905.05x = 14,828.83 × 7,707.12
  4. Step 4: Simplify right side
    9,905.05x = 114,287,572.27
  5. Step 5: Solve for x
    x = 114,287,572.27/9,905.05
  6. Step 6: Final answer
    x = 11,538.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.