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Finding the Fourth Proportional to 9,207.42, 12,706.47 and 5,672.94

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Solution

The fourth proportional to 9,207.42, 12,706.47 and 5,672.94 is: 7,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.42 : 12,706.47 = 5,672.94 : x
  2. Step 2: Convert to fraction form
    9,207.42/12,706.47 = 5,672.94/x
  3. Step 3: Cross multiply
    9,207.42x = 12,706.47 × 5,672.94
  4. Step 4: Simplify right side
    9,207.42x = 72,083,041.92
  5. Step 5: Solve for x
    x = 72,083,041.92/9,207.42
  6. Step 6: Final answer
    x = 7,828.80

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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.