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Finding the Fourth Proportional to 9,716.32, 14,571.42 and 3,140.92

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Solution

The fourth proportional to 9,716.32, 14,571.42 and 3,140.92 is: 4,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.32 : 14,571.42 = 3,140.92 : x
  2. Step 2: Convert to fraction form
    9,716.32/14,571.42 = 3,140.92/x
  3. Step 3: Cross multiply
    9,716.32x = 14,571.42 × 3,140.92
  4. Step 4: Simplify right side
    9,716.32x = 45,767,664.51
  5. Step 5: Solve for x
    x = 45,767,664.51/9,716.32
  6. Step 6: Final answer
    x = 4,710.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.