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Finding the Fourth Proportional to 9,840, 14,764.56 and 4,571.64

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Solution

The fourth proportional to 9,840, 14,764.56 and 4,571.64 is: 6,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840 : 14,764.56 = 4,571.64 : x
  2. Step 2: Convert to fraction form
    9,840/14,764.56 = 4,571.64/x
  3. Step 3: Cross multiply
    9,840x = 14,764.56 × 4,571.64
  4. Step 4: Simplify right side
    9,840x = 67,498,253.08
  5. Step 5: Solve for x
    x = 67,498,253.08/9,840
  6. Step 6: Final answer
    x = 6,859.58

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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.