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Finding the Fourth Proportional to 9,618.75, 13,277.12 and 6,832.35

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Solution

The fourth proportional to 9,618.75, 13,277.12 and 6,832.35 is: 9,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.75 : 13,277.12 = 6,832.35 : x
  2. Step 2: Convert to fraction form
    9,618.75/13,277.12 = 6,832.35/x
  3. Step 3: Cross multiply
    9,618.75x = 13,277.12 × 6,832.35
  4. Step 4: Simplify right side
    9,618.75x = 90,713,896.67
  5. Step 5: Solve for x
    x = 90,713,896.67/9,618.75
  6. Step 6: Final answer
    x = 9,430.94

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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.