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Finding the Fourth Proportional to 9,507.39, 13,124.78 and 6,325.98

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Solution

The fourth proportional to 9,507.39, 13,124.78 and 6,325.98 is: 8,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.39 : 13,124.78 = 6,325.98 : x
  2. Step 2: Convert to fraction form
    9,507.39/13,124.78 = 6,325.98/x
  3. Step 3: Cross multiply
    9,507.39x = 13,124.78 × 6,325.98
  4. Step 4: Simplify right side
    9,507.39x = 83,027,095.78
  5. Step 5: Solve for x
    x = 83,027,095.78/9,507.39
  6. Step 6: Final answer
    x = 8,732.90

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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.