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Finding the Fourth Proportional to 9,220.32, 12,709.17 and 6,235.07

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Solution

The fourth proportional to 9,220.32, 12,709.17 and 6,235.07 is: 8,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.32 : 12,709.17 = 6,235.07 : x
  2. Step 2: Convert to fraction form
    9,220.32/12,709.17 = 6,235.07/x
  3. Step 3: Cross multiply
    9,220.32x = 12,709.17 × 6,235.07
  4. Step 4: Simplify right side
    9,220.32x = 79,242,501.05
  5. Step 5: Solve for x
    x = 79,242,501.05/9,220.32
  6. Step 6: Final answer
    x = 8,594.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.