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Finding the Fourth Proportional to 9,756.54, 14,634.74 and 3,913.06

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Solution

The fourth proportional to 9,756.54, 14,634.74 and 3,913.06 is: 5,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.54 : 14,634.74 = 3,913.06 : x
  2. Step 2: Convert to fraction form
    9,756.54/14,634.74 = 3,913.06/x
  3. Step 3: Cross multiply
    9,756.54x = 14,634.74 × 3,913.06
  4. Step 4: Simplify right side
    9,756.54x = 57,266,615.70
  5. Step 5: Solve for x
    x = 57,266,615.70/9,756.54
  6. Step 6: Final answer
    x = 5,869.56

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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.