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Finding the Fourth Proportional to 9,235.00, 13,848.49 and 5,073.76

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Solution

The fourth proportional to 9,235.00, 13,848.49 and 5,073.76 is: 7,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.00 : 13,848.49 = 5,073.76 : x
  2. Step 2: Convert to fraction form
    9,235.00/13,848.49 = 5,073.76/x
  3. Step 3: Cross multiply
    9,235.00x = 13,848.49 × 5,073.76
  4. Step 4: Simplify right side
    9,235.00x = 70,263,820.01
  5. Step 5: Solve for x
    x = 70,263,820.01/9,235.00
  6. Step 6: Final answer
    x = 7,608.43

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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.