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Finding the Fourth Proportional to 9,208, 13,799.56 and 5,041.72

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Solution

The fourth proportional to 9,208, 13,799.56 and 5,041.72 is: 7,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208 : 13,799.56 = 5,041.72 : x
  2. Step 2: Convert to fraction form
    9,208/13,799.56 = 5,041.72/x
  3. Step 3: Cross multiply
    9,208x = 13,799.56 × 5,041.72
  4. Step 4: Simplify right side
    9,208x = 69,573,517.64
  5. Step 5: Solve for x
    x = 69,573,517.64/9,208
  6. Step 6: Final answer
    x = 7,555.77

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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.