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Finding the Fourth Proportional to 9,505.75, 13,118.34 and 5,314

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Solution

The fourth proportional to 9,505.75, 13,118.34 and 5,314 is: 7,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.75 : 13,118.34 = 5,314 : x
  2. Step 2: Convert to fraction form
    9,505.75/13,118.34 = 5,314/x
  3. Step 3: Cross multiply
    9,505.75x = 13,118.34 × 5,314
  4. Step 4: Simplify right side
    9,505.75x = 69,710,858.76
  5. Step 5: Solve for x
    x = 69,710,858.76/9,505.75
  6. Step 6: Final answer
    x = 7,333.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.