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Finding the Fourth Proportional to 9,573.50, 14,360.13 and 3,333.48

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Solution

The fourth proportional to 9,573.50, 14,360.13 and 3,333.48 is: 5,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.50 : 14,360.13 = 3,333.48 : x
  2. Step 2: Convert to fraction form
    9,573.50/14,360.13 = 3,333.48/x
  3. Step 3: Cross multiply
    9,573.50x = 14,360.13 × 3,333.48
  4. Step 4: Simplify right side
    9,573.50x = 47,869,206.15
  5. Step 5: Solve for x
    x = 47,869,206.15/9,573.50
  6. Step 6: Final answer
    x = 5,000.18

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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.