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Finding the Fourth Proportional to 9,139.42, 13,760.57 and 8,333.88

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Solution

The fourth proportional to 9,139.42, 13,760.57 and 8,333.88 is: 12,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.42 : 13,760.57 = 8,333.88 : x
  2. Step 2: Convert to fraction form
    9,139.42/13,760.57 = 8,333.88/x
  3. Step 3: Cross multiply
    9,139.42x = 13,760.57 × 8,333.88
  4. Step 4: Simplify right side
    9,139.42x = 114,678,939.11
  5. Step 5: Solve for x
    x = 114,678,939.11/9,139.42
  6. Step 6: Final answer
    x = 12,547.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.