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Finding the Fourth Proportional to 9,581.02, 14,371.53 and 3,007.78

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Solution

The fourth proportional to 9,581.02, 14,371.53 and 3,007.78 is: 4,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.02 : 14,371.53 = 3,007.78 : x
  2. Step 2: Convert to fraction form
    9,581.02/14,371.53 = 3,007.78/x
  3. Step 3: Cross multiply
    9,581.02x = 14,371.53 × 3,007.78
  4. Step 4: Simplify right side
    9,581.02x = 43,226,400.50
  5. Step 5: Solve for x
    x = 43,226,400.50/9,581.02
  6. Step 6: Final answer
    x = 4,511.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.