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Finding the Fourth Proportional to 9,301.16, 12,834.81 and 5,109.41

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Solution

The fourth proportional to 9,301.16, 12,834.81 and 5,109.41 is: 7,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.16 : 12,834.81 = 5,109.41 : x
  2. Step 2: Convert to fraction form
    9,301.16/12,834.81 = 5,109.41/x
  3. Step 3: Cross multiply
    9,301.16x = 12,834.81 × 5,109.41
  4. Step 4: Simplify right side
    9,301.16x = 65,578,242.39
  5. Step 5: Solve for x
    x = 65,578,242.39/9,301.16
  6. Step 6: Final answer
    x = 7,050.55

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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.