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Finding the Fourth Proportional to 9,756.56, 14,637.02 and 3,834.02

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Solution

The fourth proportional to 9,756.56, 14,637.02 and 3,834.02 is: 5,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.56 : 14,637.02 = 3,834.02 : x
  2. Step 2: Convert to fraction form
    9,756.56/14,637.02 = 3,834.02/x
  3. Step 3: Cross multiply
    9,756.56x = 14,637.02 × 3,834.02
  4. Step 4: Simplify right side
    9,756.56x = 56,118,644.84
  5. Step 5: Solve for x
    x = 56,118,644.84/9,756.56
  6. Step 6: Final answer
    x = 5,751.89

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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.