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Finding the Fourth Proportional to 9,300.13, 13,969.07 and 8,214.15

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Solution

The fourth proportional to 9,300.13, 13,969.07 and 8,214.15 is: 12,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.13 : 13,969.07 = 8,214.15 : x
  2. Step 2: Convert to fraction form
    9,300.13/13,969.07 = 8,214.15/x
  3. Step 3: Cross multiply
    9,300.13x = 13,969.07 × 8,214.15
  4. Step 4: Simplify right side
    9,300.13x = 114,744,056.88
  5. Step 5: Solve for x
    x = 114,744,056.88/9,300.13
  6. Step 6: Final answer
    x = 12,337.90

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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.