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Finding the Fourth Proportional to 9,133.14, 12,599.10 and 6,481.74

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Solution

The fourth proportional to 9,133.14, 12,599.10 and 6,481.74 is: 8,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.14 : 12,599.10 = 6,481.74 : x
  2. Step 2: Convert to fraction form
    9,133.14/12,599.10 = 6,481.74/x
  3. Step 3: Cross multiply
    9,133.14x = 12,599.10 × 6,481.74
  4. Step 4: Simplify right side
    9,133.14x = 81,664,090.43
  5. Step 5: Solve for x
    x = 81,664,090.43/9,133.14
  6. Step 6: Final answer
    x = 8,941.51

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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.