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Finding the Fourth Proportional to 9,573.96, 14,363.10 and 5,873.88

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Solution

The fourth proportional to 9,573.96, 14,363.10 and 5,873.88 is: 8,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.96 : 14,363.10 = 5,873.88 : x
  2. Step 2: Convert to fraction form
    9,573.96/14,363.10 = 5,873.88/x
  3. Step 3: Cross multiply
    9,573.96x = 14,363.10 × 5,873.88
  4. Step 4: Simplify right side
    9,573.96x = 84,367,125.83
  5. Step 5: Solve for x
    x = 84,367,125.83/9,573.96
  6. Step 6: Final answer
    x = 8,812.15

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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.