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Finding the Fourth Proportional to 9,907.74, 14,861.46 and 2,411.36

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Solution

The fourth proportional to 9,907.74, 14,861.46 and 2,411.36 is: 3,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.74 : 14,861.46 = 2,411.36 : x
  2. Step 2: Convert to fraction form
    9,907.74/14,861.46 = 2,411.36/x
  3. Step 3: Cross multiply
    9,907.74x = 14,861.46 × 2,411.36
  4. Step 4: Simplify right side
    9,907.74x = 35,836,255.88
  5. Step 5: Solve for x
    x = 35,836,255.88/9,907.74
  6. Step 6: Final answer
    x = 3,617.00

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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.