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Finding the Fourth Proportional to 9,708.10, 14,564.50 and 6,927.90

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Solution

The fourth proportional to 9,708.10, 14,564.50 and 6,927.90 is: 10,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.10 : 14,564.50 = 6,927.90 : x
  2. Step 2: Convert to fraction form
    9,708.10/14,564.50 = 6,927.90/x
  3. Step 3: Cross multiply
    9,708.10x = 14,564.50 × 6,927.90
  4. Step 4: Simplify right side
    9,708.10x = 100,901,399.55
  5. Step 5: Solve for x
    x = 100,901,399.55/9,708.10
  6. Step 6: Final answer
    x = 10,393.53

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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.