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Finding the Fourth Proportional to 9,962.70, 14,929.38 and 5,581.50

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Solution

The fourth proportional to 9,962.70, 14,929.38 and 5,581.50 is: 8,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.70 : 14,929.38 = 5,581.50 : x
  2. Step 2: Convert to fraction form
    9,962.70/14,929.38 = 5,581.50/x
  3. Step 3: Cross multiply
    9,962.70x = 14,929.38 × 5,581.50
  4. Step 4: Simplify right side
    9,962.70x = 83,328,334.47
  5. Step 5: Solve for x
    x = 83,328,334.47/9,962.70
  6. Step 6: Final answer
    x = 8,364.03

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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.