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Finding the Fourth Proportional to 9,650.54, 14,477.86 and 3,077.28

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Solution

The fourth proportional to 9,650.54, 14,477.86 and 3,077.28 is: 4,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.54 : 14,477.86 = 3,077.28 : x
  2. Step 2: Convert to fraction form
    9,650.54/14,477.86 = 3,077.28/x
  3. Step 3: Cross multiply
    9,650.54x = 14,477.86 × 3,077.28
  4. Step 4: Simplify right side
    9,650.54x = 44,552,429.02
  5. Step 5: Solve for x
    x = 44,552,429.02/9,650.54
  6. Step 6: Final answer
    x = 4,616.57

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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.