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Finding the Fourth Proportional to 9,038.14, 12,467.64 and 6,353.48

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Solution

The fourth proportional to 9,038.14, 12,467.64 and 6,353.48 is: 8,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.14 : 12,467.64 = 6,353.48 : x
  2. Step 2: Convert to fraction form
    9,038.14/12,467.64 = 6,353.48/x
  3. Step 3: Cross multiply
    9,038.14x = 12,467.64 × 6,353.48
  4. Step 4: Simplify right side
    9,038.14x = 79,212,901.39
  5. Step 5: Solve for x
    x = 79,212,901.39/9,038.14
  6. Step 6: Final answer
    x = 8,764.30

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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.