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Finding the Fourth Proportional to 9,758.70, 13,464.27 and 6,400.98

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Solution

The fourth proportional to 9,758.70, 13,464.27 and 6,400.98 is: 8,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.70 : 13,464.27 = 6,400.98 : x
  2. Step 2: Convert to fraction form
    9,758.70/13,464.27 = 6,400.98/x
  3. Step 3: Cross multiply
    9,758.70x = 13,464.27 × 6,400.98
  4. Step 4: Simplify right side
    9,758.70x = 86,184,522.98
  5. Step 5: Solve for x
    x = 86,184,522.98/9,758.70
  6. Step 6: Final answer
    x = 8,831.56

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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.