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Finding the Fourth Proportional to 9,473, 13,072.72 and 5,281.24

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Solution

The fourth proportional to 9,473, 13,072.72 and 5,281.24 is: 7,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473 : 13,072.72 = 5,281.24 : x
  2. Step 2: Convert to fraction form
    9,473/13,072.72 = 5,281.24/x
  3. Step 3: Cross multiply
    9,473x = 13,072.72 × 5,281.24
  4. Step 4: Simplify right side
    9,473x = 69,040,171.77
  5. Step 5: Solve for x
    x = 69,040,171.77/9,473
  6. Step 6: Final answer
    x = 7,288.10

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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.