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Finding the Fourth Proportional to 9,447, 13,036.64 and 5,468.03

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Solution

The fourth proportional to 9,447, 13,036.64 and 5,468.03 is: 7,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447 : 13,036.64 = 5,468.03 : x
  2. Step 2: Convert to fraction form
    9,447/13,036.64 = 5,468.03/x
  3. Step 3: Cross multiply
    9,447x = 13,036.64 × 5,468.03
  4. Step 4: Simplify right side
    9,447x = 71,284,738.62
  5. Step 5: Solve for x
    x = 71,284,738.62/9,447
  6. Step 6: Final answer
    x = 7,545.75

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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.