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Finding the Fourth Proportional to 9,324.52, 13,978.58 and 6,038.55

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Solution

The fourth proportional to 9,324.52, 13,978.58 and 6,038.55 is: 9,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.52 : 13,978.58 = 6,038.55 : x
  2. Step 2: Convert to fraction form
    9,324.52/13,978.58 = 6,038.55/x
  3. Step 3: Cross multiply
    9,324.52x = 13,978.58 × 6,038.55
  4. Step 4: Simplify right side
    9,324.52x = 84,410,324.07
  5. Step 5: Solve for x
    x = 84,410,324.07/9,324.52
  6. Step 6: Final answer
    x = 9,052.51

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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.