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Finding the Fourth Proportional to 10,214.19, 15,313.14 and 9,394.11

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Solution

The fourth proportional to 10,214.19, 15,313.14 and 9,394.11 is: 14,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.19 : 15,313.14 = 9,394.11 : x
  2. Step 2: Convert to fraction form
    10,214.19/15,313.14 = 9,394.11/x
  3. Step 3: Cross multiply
    10,214.19x = 15,313.14 × 9,394.11
  4. Step 4: Simplify right side
    10,214.19x = 143,853,321.61
  5. Step 5: Solve for x
    x = 143,853,321.61/10,214.19
  6. Step 6: Final answer
    x = 14,083.67

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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.