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Finding the Fourth Proportional to 9,627.81, 14,441.74 and 2,607.87

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Solution

The fourth proportional to 9,627.81, 14,441.74 and 2,607.87 is: 3,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.81 : 14,441.74 = 2,607.87 : x
  2. Step 2: Convert to fraction form
    9,627.81/14,441.74 = 2,607.87/x
  3. Step 3: Cross multiply
    9,627.81x = 14,441.74 × 2,607.87
  4. Step 4: Simplify right side
    9,627.81x = 37,662,119.82
  5. Step 5: Solve for x
    x = 37,662,119.82/9,627.81
  6. Step 6: Final answer
    x = 3,911.81

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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.