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Finding the Fourth Proportional to 9,038.62, 13,557.94 and 5,938.20

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Solution

The fourth proportional to 9,038.62, 13,557.94 and 5,938.20 is: 8,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.62 : 13,557.94 = 5,938.20 : x
  2. Step 2: Convert to fraction form
    9,038.62/13,557.94 = 5,938.20/x
  3. Step 3: Cross multiply
    9,038.62x = 13,557.94 × 5,938.20
  4. Step 4: Simplify right side
    9,038.62x = 80,509,759.31
  5. Step 5: Solve for x
    x = 80,509,759.31/9,038.62
  6. Step 6: Final answer
    x = 8,907.31

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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.