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Finding the Fourth Proportional to 9,436.56, 14,155.08 and 5,274.24

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Solution

The fourth proportional to 9,436.56, 14,155.08 and 5,274.24 is: 7,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.56 : 14,155.08 = 5,274.24 : x
  2. Step 2: Convert to fraction form
    9,436.56/14,155.08 = 5,274.24/x
  3. Step 3: Cross multiply
    9,436.56x = 14,155.08 × 5,274.24
  4. Step 4: Simplify right side
    9,436.56x = 74,657,289.14
  5. Step 5: Solve for x
    x = 74,657,289.14/9,436.56
  6. Step 6: Final answer
    x = 7,911.49

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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.