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Finding the Fourth Proportional to 9,757.24, 14,603.46 and 7,800.28

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Solution

The fourth proportional to 9,757.24, 14,603.46 and 7,800.28 is: 11,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.24 : 14,603.46 = 7,800.28 : x
  2. Step 2: Convert to fraction form
    9,757.24/14,603.46 = 7,800.28/x
  3. Step 3: Cross multiply
    9,757.24x = 14,603.46 × 7,800.28
  4. Step 4: Simplify right side
    9,757.24x = 113,911,076.97
  5. Step 5: Solve for x
    x = 113,911,076.97/9,757.24
  6. Step 6: Final answer
    x = 11,674.52

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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.