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Finding the Fourth Proportional to 9,084.63, 12,539.16 and 5,107.02

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Solution

The fourth proportional to 9,084.63, 12,539.16 and 5,107.02 is: 7,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.63 : 12,539.16 = 5,107.02 : x
  2. Step 2: Convert to fraction form
    9,084.63/12,539.16 = 5,107.02/x
  3. Step 3: Cross multiply
    9,084.63x = 12,539.16 × 5,107.02
  4. Step 4: Simplify right side
    9,084.63x = 64,037,740.90
  5. Step 5: Solve for x
    x = 64,037,740.90/9,084.63
  6. Step 6: Final answer
    x = 7,049.02

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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.