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Finding the Fourth Proportional to 9,084.34, 12,536.43 and 5,106.82

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Solution

The fourth proportional to 9,084.34, 12,536.43 and 5,106.82 is: 7,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.34 : 12,536.43 = 5,106.82 : x
  2. Step 2: Convert to fraction form
    9,084.34/12,536.43 = 5,106.82/x
  3. Step 3: Cross multiply
    9,084.34x = 12,536.43 × 5,106.82
  4. Step 4: Simplify right side
    9,084.34x = 64,021,291.45
  5. Step 5: Solve for x
    x = 64,021,291.45/9,084.34
  6. Step 6: Final answer
    x = 7,047.43

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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.