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Finding the Fourth Proportional to 9,776.20, 13,497.28 and 7,533.82

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Solution

The fourth proportional to 9,776.20, 13,497.28 and 7,533.82 is: 10,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.20 : 13,497.28 = 7,533.82 : x
  2. Step 2: Convert to fraction form
    9,776.20/13,497.28 = 7,533.82/x
  3. Step 3: Cross multiply
    9,776.20x = 13,497.28 × 7,533.82
  4. Step 4: Simplify right side
    9,776.20x = 101,686,078.01
  5. Step 5: Solve for x
    x = 101,686,078.01/9,776.20
  6. Step 6: Final answer
    x = 10,401.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.