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Finding the Fourth Proportional to 9,083.16, 13,623.12 and 2,507.70

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Solution

The fourth proportional to 9,083.16, 13,623.12 and 2,507.70 is: 3,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.16 : 13,623.12 = 2,507.70 : x
  2. Step 2: Convert to fraction form
    9,083.16/13,623.12 = 2,507.70/x
  3. Step 3: Cross multiply
    9,083.16x = 13,623.12 × 2,507.70
  4. Step 4: Simplify right side
    9,083.16x = 34,162,698.02
  5. Step 5: Solve for x
    x = 34,162,698.02/9,083.16
  6. Step 6: Final answer
    x = 3,761.10

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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.