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Finding the Fourth Proportional to 9,887.57, 14,812.71 and 7,685.60

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Solution

The fourth proportional to 9,887.57, 14,812.71 and 7,685.60 is: 11,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.57 : 14,812.71 = 7,685.60 : x
  2. Step 2: Convert to fraction form
    9,887.57/14,812.71 = 7,685.60/x
  3. Step 3: Cross multiply
    9,887.57x = 14,812.71 × 7,685.60
  4. Step 4: Simplify right side
    9,887.57x = 113,844,563.98
  5. Step 5: Solve for x
    x = 113,844,563.98/9,887.57
  6. Step 6: Final answer
    x = 11,513.91

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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.