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Finding the Fourth Proportional to 9,935.98, 13,707.72 and 6,401.25

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Solution

The fourth proportional to 9,935.98, 13,707.72 and 6,401.25 is: 8,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.98 : 13,707.72 = 6,401.25 : x
  2. Step 2: Convert to fraction form
    9,935.98/13,707.72 = 6,401.25/x
  3. Step 3: Cross multiply
    9,935.98x = 13,707.72 × 6,401.25
  4. Step 4: Simplify right side
    9,935.98x = 87,746,542.65
  5. Step 5: Solve for x
    x = 87,746,542.65/9,935.98
  6. Step 6: Final answer
    x = 8,831.19

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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.