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Finding the Fourth Proportional to 9,630.23, 13,290.39 and 5,382

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Solution

The fourth proportional to 9,630.23, 13,290.39 and 5,382 is: 7,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.23 : 13,290.39 = 5,382 : x
  2. Step 2: Convert to fraction form
    9,630.23/13,290.39 = 5,382/x
  3. Step 3: Cross multiply
    9,630.23x = 13,290.39 × 5,382
  4. Step 4: Simplify right side
    9,630.23x = 71,528,878.98
  5. Step 5: Solve for x
    x = 71,528,878.98/9,630.23
  6. Step 6: Final answer
    x = 7,427.54

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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.