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Finding the Fourth Proportional to 9,473.85, 13,073.61 and 5,225.09

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Solution

The fourth proportional to 9,473.85, 13,073.61 and 5,225.09 is: 7,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.85 : 13,073.61 = 5,225.09 : x
  2. Step 2: Convert to fraction form
    9,473.85/13,073.61 = 5,225.09/x
  3. Step 3: Cross multiply
    9,473.85x = 13,073.61 × 5,225.09
  4. Step 4: Simplify right side
    9,473.85x = 68,310,697.38
  5. Step 5: Solve for x
    x = 68,310,697.38/9,473.85
  6. Step 6: Final answer
    x = 7,210.45

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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.