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Finding the Fourth Proportional to 9,300.96, 12,835.62 and 5,109.21

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Solution

The fourth proportional to 9,300.96, 12,835.62 and 5,109.21 is: 7,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.96 : 12,835.62 = 5,109.21 : x
  2. Step 2: Convert to fraction form
    9,300.96/12,835.62 = 5,109.21/x
  3. Step 3: Cross multiply
    9,300.96x = 12,835.62 × 5,109.21
  4. Step 4: Simplify right side
    9,300.96x = 65,579,878.06
  5. Step 5: Solve for x
    x = 65,579,878.06/9,300.96
  6. Step 6: Final answer
    x = 7,050.87

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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.