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Finding the Fourth Proportional to 9,850.77, 14,776.47 and 3,277.53

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Solution

The fourth proportional to 9,850.77, 14,776.47 and 3,277.53 is: 4,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.77 : 14,776.47 = 3,277.53 : x
  2. Step 2: Convert to fraction form
    9,850.77/14,776.47 = 3,277.53/x
  3. Step 3: Cross multiply
    9,850.77x = 14,776.47 × 3,277.53
  4. Step 4: Simplify right side
    9,850.77x = 48,430,323.72
  5. Step 5: Solve for x
    x = 48,430,323.72/9,850.77
  6. Step 6: Final answer
    x = 4,916.40

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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.