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Finding the Fourth Proportional to 9,846.96, 14,747.76 and 4,901.28

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Solution

The fourth proportional to 9,846.96, 14,747.76 and 4,901.28 is: 7,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.96 : 14,747.76 = 4,901.28 : x
  2. Step 2: Convert to fraction form
    9,846.96/14,747.76 = 4,901.28/x
  3. Step 3: Cross multiply
    9,846.96x = 14,747.76 × 4,901.28
  4. Step 4: Simplify right side
    9,846.96x = 72,282,901.13
  5. Step 5: Solve for x
    x = 72,282,901.13/9,846.96
  6. Step 6: Final answer
    x = 7,340.63

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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.