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Finding the Fourth Proportional to 9,573.84, 14,375.88 and 5,695.56

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Solution

The fourth proportional to 9,573.84, 14,375.88 and 5,695.56 is: 8,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.84 : 14,375.88 = 5,695.56 : x
  2. Step 2: Convert to fraction form
    9,573.84/14,375.88 = 5,695.56/x
  3. Step 3: Cross multiply
    9,573.84x = 14,375.88 × 5,695.56
  4. Step 4: Simplify right side
    9,573.84x = 81,878,687.09
  5. Step 5: Solve for x
    x = 81,878,687.09/9,573.84
  6. Step 6: Final answer
    x = 8,552.34

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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.