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Finding the Fourth Proportional to 9,156.63, 13,733.73 and 2,583.35

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Solution

The fourth proportional to 9,156.63, 13,733.73 and 2,583.35 is: 3,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.63 : 13,733.73 = 2,583.35 : x
  2. Step 2: Convert to fraction form
    9,156.63/13,733.73 = 2,583.35/x
  3. Step 3: Cross multiply
    9,156.63x = 13,733.73 × 2,583.35
  4. Step 4: Simplify right side
    9,156.63x = 35,478,984.14
  5. Step 5: Solve for x
    x = 35,478,984.14/9,156.63
  6. Step 6: Final answer
    x = 3,874.68

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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.