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Finding the Fourth Proportional to 9,700.25, 13,391.67 and 6,518.16

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Solution

The fourth proportional to 9,700.25, 13,391.67 and 6,518.16 is: 8,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.25 : 13,391.67 = 6,518.16 : x
  2. Step 2: Convert to fraction form
    9,700.25/13,391.67 = 6,518.16/x
  3. Step 3: Cross multiply
    9,700.25x = 13,391.67 × 6,518.16
  4. Step 4: Simplify right side
    9,700.25x = 87,289,047.73
  5. Step 5: Solve for x
    x = 87,289,047.73/9,700.25
  6. Step 6: Final answer
    x = 8,998.64

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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.