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Finding the Fourth Proportional to 9,483.24, 13,077.10 and 6,295.38

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Solution

The fourth proportional to 9,483.24, 13,077.10 and 6,295.38 is: 8,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.24 : 13,077.10 = 6,295.38 : x
  2. Step 2: Convert to fraction form
    9,483.24/13,077.10 = 6,295.38/x
  3. Step 3: Cross multiply
    9,483.24x = 13,077.10 × 6,295.38
  4. Step 4: Simplify right side
    9,483.24x = 82,325,313.80
  5. Step 5: Solve for x
    x = 82,325,313.80/9,483.24
  6. Step 6: Final answer
    x = 8,681.14

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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.