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Finding the Fourth Proportional to 9,564.84, 14,359.74 and 7,375.08

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Solution

The fourth proportional to 9,564.84, 14,359.74 and 7,375.08 is: 11,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.84 : 14,359.74 = 7,375.08 : x
  2. Step 2: Convert to fraction form
    9,564.84/14,359.74 = 7,375.08/x
  3. Step 3: Cross multiply
    9,564.84x = 14,359.74 × 7,375.08
  4. Step 4: Simplify right side
    9,564.84x = 105,904,231.28
  5. Step 5: Solve for x
    x = 105,904,231.28/9,564.84
  6. Step 6: Final answer
    x = 11,072.24

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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.