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Finding the Fourth Proportional to 9,280.98, 12,807.72 and 5,032.06

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Solution

The fourth proportional to 9,280.98, 12,807.72 and 5,032.06 is: 6,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.98 : 12,807.72 = 5,032.06 : x
  2. Step 2: Convert to fraction form
    9,280.98/12,807.72 = 5,032.06/x
  3. Step 3: Cross multiply
    9,280.98x = 12,807.72 × 5,032.06
  4. Step 4: Simplify right side
    9,280.98x = 64,449,183.48
  5. Step 5: Solve for x
    x = 64,449,183.48/9,280.98
  6. Step 6: Final answer
    x = 6,944.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.