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Finding the Fourth Proportional to 9,816.76, 14,719.38 and 4,627

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Solution

The fourth proportional to 9,816.76, 14,719.38 and 4,627 is: 6,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.76 : 14,719.38 = 4,627 : x
  2. Step 2: Convert to fraction form
    9,816.76/14,719.38 = 4,627/x
  3. Step 3: Cross multiply
    9,816.76x = 14,719.38 × 4,627
  4. Step 4: Simplify right side
    9,816.76x = 68,106,571.26
  5. Step 5: Solve for x
    x = 68,106,571.26/9,816.76
  6. Step 6: Final answer
    x = 6,937.79

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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.