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Finding the Fourth Proportional to 8,947.75, 13,421.62 and 2,374.45

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Solution

The fourth proportional to 8,947.75, 13,421.62 and 2,374.45 is: 3,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.75 : 13,421.62 = 2,374.45 : x
  2. Step 2: Convert to fraction form
    8,947.75/13,421.62 = 2,374.45/x
  3. Step 3: Cross multiply
    8,947.75x = 13,421.62 × 2,374.45
  4. Step 4: Simplify right side
    8,947.75x = 31,868,898.50
  5. Step 5: Solve for x
    x = 31,868,898.50/8,947.75
  6. Step 6: Final answer
    x = 3,561.67

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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.