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Finding the Fourth Proportional to 10,139.74, 15,214.14 and 6,440.96

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Solution

The fourth proportional to 10,139.74, 15,214.14 and 6,440.96 is: 9,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.74 : 15,214.14 = 6,440.96 : x
  2. Step 2: Convert to fraction form
    10,139.74/15,214.14 = 6,440.96/x
  3. Step 3: Cross multiply
    10,139.74x = 15,214.14 × 6,440.96
  4. Step 4: Simplify right side
    10,139.74x = 97,993,705.21
  5. Step 5: Solve for x
    x = 97,993,705.21/10,139.74
  6. Step 6: Final answer
    x = 9,664.32

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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.