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Finding the Fourth Proportional to 9,366.98, 14,050.14 and 2,347.05

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Solution

The fourth proportional to 9,366.98, 14,050.14 and 2,347.05 is: 3,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.98 : 14,050.14 = 2,347.05 : x
  2. Step 2: Convert to fraction form
    9,366.98/14,050.14 = 2,347.05/x
  3. Step 3: Cross multiply
    9,366.98x = 14,050.14 × 2,347.05
  4. Step 4: Simplify right side
    9,366.98x = 32,976,381.09
  5. Step 5: Solve for x
    x = 32,976,381.09/9,366.98
  6. Step 6: Final answer
    x = 3,520.49

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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.