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Finding the Fourth Proportional to 9,280.77, 13,924.80 and 4,083

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Solution

The fourth proportional to 9,280.77, 13,924.80 and 4,083 is: 6,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.77 : 13,924.80 = 4,083 : x
  2. Step 2: Convert to fraction form
    9,280.77/13,924.80 = 4,083/x
  3. Step 3: Cross multiply
    9,280.77x = 13,924.80 × 4,083
  4. Step 4: Simplify right side
    9,280.77x = 56,854,958.40
  5. Step 5: Solve for x
    x = 56,854,958.40/9,280.77
  6. Step 6: Final answer
    x = 6,126.10

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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.