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Finding the Fourth Proportional to 9,764.19, 14,650.83 and 3,526.74

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Solution

The fourth proportional to 9,764.19, 14,650.83 and 3,526.74 is: 5,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.19 : 14,650.83 = 3,526.74 : x
  2. Step 2: Convert to fraction form
    9,764.19/14,650.83 = 3,526.74/x
  3. Step 3: Cross multiply
    9,764.19x = 14,650.83 × 3,526.74
  4. Step 4: Simplify right side
    9,764.19x = 51,669,668.19
  5. Step 5: Solve for x
    x = 51,669,668.19/9,764.19
  6. Step 6: Final answer
    x = 5,291.75

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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.