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Finding the Fourth Proportional to 9,265.56, 13,898.78 and 3,025.58

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Solution

The fourth proportional to 9,265.56, 13,898.78 and 3,025.58 is: 4,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.56 : 13,898.78 = 3,025.58 : x
  2. Step 2: Convert to fraction form
    9,265.56/13,898.78 = 3,025.58/x
  3. Step 3: Cross multiply
    9,265.56x = 13,898.78 × 3,025.58
  4. Step 4: Simplify right side
    9,265.56x = 42,051,786.17
  5. Step 5: Solve for x
    x = 42,051,786.17/9,265.56
  6. Step 6: Final answer
    x = 4,538.50

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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.