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Finding the Fourth Proportional to 9,963.90, 14,933.70 and 4,411.35

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Solution

The fourth proportional to 9,963.90, 14,933.70 and 4,411.35 is: 6,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.90 : 14,933.70 = 4,411.35 : x
  2. Step 2: Convert to fraction form
    9,963.90/14,933.70 = 4,411.35/x
  3. Step 3: Cross multiply
    9,963.90x = 14,933.70 × 4,411.35
  4. Step 4: Simplify right side
    9,963.90x = 65,877,777.50
  5. Step 5: Solve for x
    x = 65,877,777.50/9,963.90
  6. Step 6: Final answer
    x = 6,611.65

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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.