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Finding the Fourth Proportional to 9,963.86, 14,955.02 and 5,036.96

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Solution

The fourth proportional to 9,963.86, 14,955.02 and 5,036.96 is: 7,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.86 : 14,955.02 = 5,036.96 : x
  2. Step 2: Convert to fraction form
    9,963.86/14,955.02 = 5,036.96/x
  3. Step 3: Cross multiply
    9,963.86x = 14,955.02 × 5,036.96
  4. Step 4: Simplify right side
    9,963.86x = 75,327,868.63
  5. Step 5: Solve for x
    x = 75,327,868.63/9,963.86
  6. Step 6: Final answer
    x = 7,560.11

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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.