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Finding the Fourth Proportional to 9,707.05, 13,362.67 and 7,184.41

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Solution

The fourth proportional to 9,707.05, 13,362.67 and 7,184.41 is: 9,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.05 : 13,362.67 = 7,184.41 : x
  2. Step 2: Convert to fraction form
    9,707.05/13,362.67 = 7,184.41/x
  3. Step 3: Cross multiply
    9,707.05x = 13,362.67 × 7,184.41
  4. Step 4: Simplify right side
    9,707.05x = 96,002,833.16
  5. Step 5: Solve for x
    x = 96,002,833.16/9,707.05
  6. Step 6: Final answer
    x = 9,890.01

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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.