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Finding the Fourth Proportional to 9,870.81, 14,797.09 and 3,627.38

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Solution

The fourth proportional to 9,870.81, 14,797.09 and 3,627.38 is: 5,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.81 : 14,797.09 = 3,627.38 : x
  2. Step 2: Convert to fraction form
    9,870.81/14,797.09 = 3,627.38/x
  3. Step 3: Cross multiply
    9,870.81x = 14,797.09 × 3,627.38
  4. Step 4: Simplify right side
    9,870.81x = 53,674,709.85
  5. Step 5: Solve for x
    x = 53,674,709.85/9,870.81
  6. Step 6: Final answer
    x = 5,437.72

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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.