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Finding the Fourth Proportional to 9,225.37, 12,723.10 and 6,078.25

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Solution

The fourth proportional to 9,225.37, 12,723.10 and 6,078.25 is: 8,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.37 : 12,723.10 = 6,078.25 : x
  2. Step 2: Convert to fraction form
    9,225.37/12,723.10 = 6,078.25/x
  3. Step 3: Cross multiply
    9,225.37x = 12,723.10 × 6,078.25
  4. Step 4: Simplify right side
    9,225.37x = 77,334,182.58
  5. Step 5: Solve for x
    x = 77,334,182.58/9,225.37
  6. Step 6: Final answer
    x = 8,382.77

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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.