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Finding the Fourth Proportional to 9,083.78, 12,534.50 and 5,256.08

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Solution

The fourth proportional to 9,083.78, 12,534.50 and 5,256.08 is: 7,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.78 : 12,534.50 = 5,256.08 : x
  2. Step 2: Convert to fraction form
    9,083.78/12,534.50 = 5,256.08/x
  3. Step 3: Cross multiply
    9,083.78x = 12,534.50 × 5,256.08
  4. Step 4: Simplify right side
    9,083.78x = 65,882,245.81
  5. Step 5: Solve for x
    x = 65,882,245.81/9,083.78
  6. Step 6: Final answer
    x = 7,252.74

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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.