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Finding the Fourth Proportional to 9,483.34, 14,224.48 and 2,909.50

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Solution

The fourth proportional to 9,483.34, 14,224.48 and 2,909.50 is: 4,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.34 : 14,224.48 = 2,909.50 : x
  2. Step 2: Convert to fraction form
    9,483.34/14,224.48 = 2,909.50/x
  3. Step 3: Cross multiply
    9,483.34x = 14,224.48 × 2,909.50
  4. Step 4: Simplify right side
    9,483.34x = 41,386,124.56
  5. Step 5: Solve for x
    x = 41,386,124.56/9,483.34
  6. Step 6: Final answer
    x = 4,364.09

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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.