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Finding the Fourth Proportional to 9,360, 14,041.82 and 4,165.88

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Solution

The fourth proportional to 9,360, 14,041.82 and 4,165.88 is: 6,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,360 : 14,041.82 = 4,165.88 : x
  2. Step 2: Convert to fraction form
    9,360/14,041.82 = 4,165.88/x
  3. Step 3: Cross multiply
    9,360x = 14,041.82 × 4,165.88
  4. Step 4: Simplify right side
    9,360x = 58,496,477.31
  5. Step 5: Solve for x
    x = 58,496,477.31/9,360
  6. Step 6: Final answer
    x = 6,249.62

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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.