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Finding the Fourth Proportional to 9,775.15, 14,654.01 and 3,533.77

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Solution

The fourth proportional to 9,775.15, 14,654.01 and 3,533.77 is: 5,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.15 : 14,654.01 = 3,533.77 : x
  2. Step 2: Convert to fraction form
    9,775.15/14,654.01 = 3,533.77/x
  3. Step 3: Cross multiply
    9,775.15x = 14,654.01 × 3,533.77
  4. Step 4: Simplify right side
    9,775.15x = 51,783,900.92
  5. Step 5: Solve for x
    x = 51,783,900.92/9,775.15
  6. Step 6: Final answer
    x = 5,297.50

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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.