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Finding the Fourth Proportional to 9,573.12, 13,211.25 and 5,325.39

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Solution

The fourth proportional to 9,573.12, 13,211.25 and 5,325.39 is: 7,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.12 : 13,211.25 = 5,325.39 : x
  2. Step 2: Convert to fraction form
    9,573.12/13,211.25 = 5,325.39/x
  3. Step 3: Cross multiply
    9,573.12x = 13,211.25 × 5,325.39
  4. Step 4: Simplify right side
    9,573.12x = 70,355,058.64
  5. Step 5: Solve for x
    x = 70,355,058.64/9,573.12
  6. Step 6: Final answer
    x = 7,349.23

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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.