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Finding the Fourth Proportional to 9,207.29, 12,706.40 and 5,228.30

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Solution

The fourth proportional to 9,207.29, 12,706.40 and 5,228.30 is: 7,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.29 : 12,706.40 = 5,228.30 : x
  2. Step 2: Convert to fraction form
    9,207.29/12,706.40 = 5,228.30/x
  3. Step 3: Cross multiply
    9,207.29x = 12,706.40 × 5,228.30
  4. Step 4: Simplify right side
    9,207.29x = 66,432,871.12
  5. Step 5: Solve for x
    x = 66,432,871.12/9,207.29
  6. Step 6: Final answer
    x = 7,215.25

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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.