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Finding the Fourth Proportional to 10,462.92, 14,442.03 and 6,214.67

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Solution

The fourth proportional to 10,462.92, 14,442.03 and 6,214.67 is: 8,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.92 : 14,442.03 = 6,214.67 : x
  2. Step 2: Convert to fraction form
    10,462.92/14,442.03 = 6,214.67/x
  3. Step 3: Cross multiply
    10,462.92x = 14,442.03 × 6,214.67
  4. Step 4: Simplify right side
    10,462.92x = 89,752,419.51
  5. Step 5: Solve for x
    x = 89,752,419.51/10,462.92
  6. Step 6: Final answer
    x = 8,578.15

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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.