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Finding the Fourth Proportional to 9,455.38, 13,038.75 and 6,267.57

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Solution

The fourth proportional to 9,455.38, 13,038.75 and 6,267.57 is: 8,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.38 : 13,038.75 = 6,267.57 : x
  2. Step 2: Convert to fraction form
    9,455.38/13,038.75 = 6,267.57/x
  3. Step 3: Cross multiply
    9,455.38x = 13,038.75 × 6,267.57
  4. Step 4: Simplify right side
    9,455.38x = 81,721,278.34
  5. Step 5: Solve for x
    x = 81,721,278.34/9,455.38
  6. Step 6: Final answer
    x = 8,642.83

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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.