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Finding the Fourth Proportional to 9,542, 14,316.16 and 3,698.66

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Solution

The fourth proportional to 9,542, 14,316.16 and 3,698.66 is: 5,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542 : 14,316.16 = 3,698.66 : x
  2. Step 2: Convert to fraction form
    9,542/14,316.16 = 3,698.66/x
  3. Step 3: Cross multiply
    9,542x = 14,316.16 × 3,698.66
  4. Step 4: Simplify right side
    9,542x = 52,950,608.35
  5. Step 5: Solve for x
    x = 52,950,608.35/9,542
  6. Step 6: Final answer
    x = 5,549.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.